1. Equations aux dérivées partielles et analyse fonctionnelle [1971  1977]
 [Palaiseau, France] : Le Centre, [1971?1977?]
 Description
 Journal/Periodical — 7 v. ; 30 cm.
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QA374 .S4 1976/1977  Available 
QA374 .S4 1975/1976  Available 
QA374 .S4 1974/1975  Available 
QA374 .S4 1973/1974  Available 
QA374 .S4 1972/1973  Available 
QA374 .S4 1971/1972  Available 
QA374 .S4 1970/1971  Available 
 Tanabe, Hiroki, author.
 First edition  London : Taylor and Francis, 2017
 Description
 Book — 1 online resource : text file, PDF
 Summary

 Chapter 1 Preliminaries / Hiroki Tanabe
 chapter 2 Singular Integrals / Hiroki Tanabe
 chapter 3 Sobolev Spaces / Hiroki Tanabe
 chapter 4 Elliptic Boundary Value Problems / Hiroki Tanabe
 chapter 5 Elliptic Boundary Value Problems (Continued) / Hiroki Tanabe
 chapter 6 Parabolic Evolution Equations / Hiroki Tanabe
 chapter 7 Hyperbolic Evolution Equations / Hiroki Tanabe
 chapter 8 Retarded Functional Differential Equations / Hiroki Tanabe
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 Tanabe, Hiroki.
 New York : Marcel Dekker, c1997.
 Description
 Book — vii, 414 p. ; 24 cm.
 Summary

 Singular integrals Sobolev spaces elliptic boundary value problems elliptic boundary value problems (continued) parabolic evolution equations hyperbolic evolution equations retarded functional differential equations list of symbols.
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QA321 .T36 1997  Available 
 Friedman, Avner.
 Englewood Cliffs, N. J., PrenticeHall, 1963.
 Description
 Book — 340 p. 24 cm.
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QA377 .F74  Available 
 Odhnoff, Jan.
 Lund, 1959.
 Description
 Book — 79 p. 24 cm.
 Online
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517.42 .O23  Available 
 Haase, Markus, 1970 author.
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — xviii, 372 pages : illustrations ; 27 cm.
 Summary

 Inner product spaces Normed spaces Distance and approximation Continuity and compactness Banach spaces The contraction principle The Lebesgue spaces Hilbert space fundamentals Approximation theory and Fourier analysis Sobolev spaces and the Poisson problem Operator theory I Operator theory II Spectral theory of compact selfadjoint operators Applications of the spectral theorem Baire's theorem and its consequences Duality and the HahnBanach theorem Historical remarks Background The completion of a metric space Bernstein's proof of Weierstrass' theorem Smooth cutoff functions Some topics from Fourier analysis General orthonormal systems Bibliography Symbol index Subject index Author index.
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QA320 .H23 2014  Unknown 
 Singapore ; River Edge, N.J. : World Scientific Pub. Co., c2001.
 Description
 Book — xiii, 458 p. : ill.
 Summary

 Boundary value problems and initial value problems for partial differential equations applications of functionalanalytic and complex methods to mathematical physics partial complex differential equations in the plane complex methods in higher dimensions.
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8. Gaussian capacity analysis [2018]
 Liu, Liguang, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — ix, 108 pages ; 24 cm.
 Summary

 Gaussian Sobolev pspace. Gaussian Campanato (p, k)class. Gaussian pcapacity. Restriction of Gaussian Sobolev pspace. Gaussian 1capacity to Gaussian capacity. Gaussian BVcapacity.
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Shelved by Series title V.2225  Unknown 
 Principes d'analyse Fonctionnelle. English
 Willem, Michel, author.
 New York : Birkhäuser, 2013.
 Description
 Book — xiii, 213 pages : illustrations ; 24 cm.
 Summary

 Preface. The Integral. Norm. Lebesgue Spaces. Duality. Sobolev Spaces. Capacity. Elliptic Problems. Appendix. Epilogue. References. Index of Notations. Index.
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QA320 .W5713 2013  Unknown 
 Formaggia, L. (Luca)
 Milano : Springer, 2005.
 Description
 Book — 1 online resource (viii, 395 pages) Digital: text file; PDF.
 Summary

 pt.
 1. Problemi stazionari
 pt.
 2. Problemi tempodipendenti
 pt.
 3. Appendici.
11. Applicazioni ed esercizi di modellistica numerica per problemi differenziali [electronic resource] [2005]
 Formaggia, L. (Luca)
 Milano : Springer, 2005.
 Description
 Book — viii, 395 p. : ill.
 Summary

 pt.
 1. Problemi stazionari
 pt.
 2. Problemi tempodipendenti
 pt.
 3. Appendici.
 Sidorov, Nikolay.
 Dordrecht : Springer Netherlands, 2002.
 Description
 Book — 1 online resource (xx, 548 pages).
 Summary

 Preface.
 1. On Regularization of Linear Equations on the Basis of Perturbation Theory.
 2. Investigation of Bifurcation Points of a Nonlinear Equations.
 3. Regularization of Computation of Solutions in a Neighborhood of the Branch Point.
 4. Iterations, Interlaced Equations and Lyapunov Conbex Majorants in Nonlinear Analysis.
 5. Methods of Representation Theory and Group Analysis in Bifurcation Theory.
 6. Singular Differential Equations in Banach Spaces.
 7. SteadyState Solutions of the VlasovMaxwell System. Appendices. A: Positive solutions of the nonlinear singular boundary value problem of magnetic insulation. References. Index.
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 Miklavčič, Milan, 1954
 Singapore ; River Edge, N.J. : World Scientific Pub. Co., c1998.
 Description
 Book — x, 294 p.
 Summary

 Linear operators in Banach spaces linear operators in Hilbert spaces Sobolev spaces semigroups of linear operators weakly nonlinear evolution equations semilinear parabolic equations.
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 Fokas, A. S.
 Boston, MA : Birkhäuser Boston, 1996.
 Description
 Book — 1 online resource.
 Summary

 Complex Billiard Hamiltonian Systems and Nonlinear Waves
 Automorphic Pseudodifferential Operators
 On?Functions of ZakharovShabat and Other Matrix Hierarchies of Integrable Equations
 On the Hamiltonian Representation of the Associativity Equations
 A Plethora of Integrable BiHamiltonian Equations
 Hamiltonian Structures in Stationary Manifold Coordinates
 Compatibility in Abstract Algebraic Structures
 A Theorem of Bochner, Revisited
 Obstacles to Asymptotic Integrability
 InfinitelyPrecise SpaceTime Discretizations of the Equation ut + uux = 0
 Trace Formulas and the Canonical 1Form
 On Some 'Schwarzian' Equations and their Discrete Analogues
 Poisson Brackets for Integrable Lattice Systems
 On the rMatrix Structure of the Neumann Systems and its Discretizations
 Multiscale Expansions, Symmetries and the Nonlinear Schrödinger Hierarchy
 On a Laplace Sequence of Nonlinear Integrable ErnstType Equations
 Classical and Quantum Nonultralocal Systems on the Lattice.
 Carmona, R. (René)
 Boston, MA : Birkhäuser Boston, 1990.
 Description
 Book — 1 online resource (614 pages).
 Summary

 I Spectral Theory of SelfAdjoint Operators. 1 Domains, Adjoints, Resolvents and Spectra. 2 Resolutions of the Identity. 3 Representation Theorems. 4 The Spectral Theorem. 5 Quadratic Forms and Selfadjoint Operators. 6 Selfadjoint Extensions of Symmetric Operators. 7 Problems. 8 Notes and Complements. II Schrodinger Operators. 1 The Free Hamiltonians. 2 Schrodinger Operators as Perturbations. 2.1 Selfadjointness. 2.2 Perturbation of the Absolutely Continuous Spectrum. 2.3 An Approximation Argument. 3 Path Integral Formulas. 3.1 Brownian Motions and the Free Hamiltonians. 3.2 The FeynmanKac Formula. 4 Eigenfunctions. 4.1 L2Eigenfunctions. 4.2 The Periodic Case. 4.3 Generalized Eigenfunction Expansions. 5 Problems. 6 Notes and Complements. III OneDimensional Schrodinger Operators. 1 The Continuous Case. 1.1 Essential Selfadjointness. 1.2 The Operator in an Interval. 1.3 Green's and WeylTitchmarsh's Functions. 1.4 The Propagator. 1.5 Examples. 2 The Lattice Case. 3 Approximations of the Spectral Measures. 4 Spectral Types. 4.1 Absolutely Continuous Spectrum. 4.2 Singular Spectrum. 4.3 Pure Point Spectrum. 5 Quasione Dimensional Schrodinger Operators. 5.1 The Schrodinger Operator in a Strip. 5.2 Approximation of the Spectral Measures. 5.3 Nature of the Spectrum. 6 Problems. 7 Notes and Complements. IV Products of Random Matrices. 1 General Ergodic Theorems. 2 Matrix Valued Systems. 3 Group Action on Compact Spaces. 3.1 Definitions and Notations. 3.2 Laplace Operators on the Space of Continuous Functions. 3.3 The Laplace Operators on the Space of Holder Continuous Functions. 4 Products of Independent Random Matrices. 4.1 The Upper Lyapunov Exponent. 4.2 The Lyapunov Spectrum. 4.3 Schrodinger Matrices. 5 Markovian Multiplicative Systems. 5.1 The Upper Lyapunov Exponent. 5.2 The Lyapunov Spectrum. 5.3 Laplace Transform. 6 Boundaries of the Symplectic Group. 7 Problems. 8 Notes and Comments. V Ergodic Families of SelfAdjoint Operators. 1 Measurability Concepts. 2 Spectra of Ergodic Families. 3 The Case of Random Schrodinger Operators. 3.1 Examples. 4 Regularity Properties of the Lyapunov Exponents. 4.1 Subharmonicity. 4.2 Continuity. 4.3 Local Holder Continuity. 4.4 Smoothness. 5 Problems. 6 Notes and Complements. VI The Integrated Density of States. 1 Existence Problems. 1.1 Setting of the Problem. 1.2 Path Integral Approach. 1.3 Functional Analytic Approach. 2 Asymptotic Behavior and Lifschitz Tails. 2.1 Tauberian Arguments. 2.2 The Anderson Model. 3 More on the Lattice Case. 4 The One Dimensional Cases. 4.1 The Continuous Case. 4.2 The Lattice Case. 5 Problems. 6 Notes and Complements. VII Absolutely Continuous Spectrum and Inverse Theory. 1 The wfunction. 1.1 More on Herglotz Functions. 1.2 The Continuous Case. 1.3 The Lattice Case. 2 Periodic and Almost Periodic Potentials. 2.1 Floquet Theory. 2.2 Inverse Spectral Theory. 2.3 The Lattice Case. 2.4 Almost Periodic Potentials. 3 The Absolutely Continuous Spectrum. 3.1 The Essential Support of the Absolutely Continuous Spectrum. 3.2 Support Theorems and Deterministic Potentials. 4 Inverse Spectral Theory. 4.1 The Continuous Case. 4.2 The Lattice Case. 5 Miscellaneous. 5.1 Potentials Taking Finitely Many Values. 5.2 A Remark on the Multidimensional Case. 6 Problems. 7 Notes and Complements. VIII Localization in One Dimension. 1 Pointwise Theory. 1.1 Kotani's Trick. 1.2 The Discrete Case. 1.3 The General Case. 2 Perturbation Theory. 3 Operator Theory. 3.1 The Discrete I.I.D. Model. 3.2 The Markov Model. 3.3 The Discrete I.I.D. Model on the Strip. 4 Localization for Singular Potentials. 5 NonStationary Processes. 5.1 The Discrete Case. 5.2 The Continuous Case. 6 Problems. 7 Notes and Complements. IX Localization in Any Dimension. 1 Exponential Decay of the Green's Function at Fixed Energy. 1.1 Decay of the Green's Function in Boxes. 1.2 Decay of the Green's Function in ?d. 2 Localization for A.C. Potentials. 2.1 Pointwise Theory. 2.2 Perturbation Theory. 3 A Direct Proof of Localization. 3.1 Examples. 3.2 The Proof. 3.3 Extensions. 4 Problems. 5 Notes and Complements. Notation Index.
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16. Linear partial differential equations [1970]
 Cours sur les équations aux dérivées partielles linéaires. English
 Treves, Francois, 1930
 New York, Gordon and Breach [1970]
 Description
 Book — x, 120 p. illus. 24 cm.
 Online

Available to students, faculty, and staff, by special arrangement in response to COVID19. To protect our access to ETAS, the physical copy is temporarily not requestable.
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QA377 .T683  Available 
17. Supports of convolutions [1968]
 Diego, A. (Antonio)
 Rio de Janeiro, Instituto de Matemática Pura e Aplicada, 1968.
 Description
 Book — 97 p. 26 cm.
 Online

Available to students, faculty, and staff, by special arrangement in response to COVID19. To protect our access to ETAS, the physical copy is temporarily not requestable.
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QA320 .D5  Available 
 Treves, Francois, 1930
 Paris, École normale supérieure, 1967.
 Description
 Book — 168 l. illus. 27 cm.
 Online

Available to students, faculty, and staff, by special arrangement in response to COVID19. To protect our access to ETAS, the physical copy is temporarily not requestable.
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QA377 .T68  Available 
 Prairie Analysis Seminar (5th : 2005 : Kansas State University)
 Providence, R.I. : American Mathematical Society, c2007.
 Description
 Book — 1 online resource (x, 173 p. : ill).
 Summary

 Improved Painlevé removability for bounded planar quasiregular mappings / Kari Astala, Albert Clop, Joan Mateu, Joan Orobitg and Ignacio UriarteTuero
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08205 Timefrequency estimates for pseudodifferential operators / Árpád Bényi and Kasso A. Okoudjou
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08206 Extrapolation of operators defined on domains and boundary respecting $A_p$ weights / Ryan Berndt
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08207 Existence, uniqueness and regularity of the free boundary in the HeleShaw problem with a degenerate phase / Ivan A. Blank, Marianne K. Korten and Charles N. Moore
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08208 On blowup solutions of NLS with low regularity initial data / J. Colliander
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08209 Are $L^2$bounded homogeneous singular integrals necessarily $L^p$bounded? / Loukas Grafakos, Petr Honzík and Dmitry Ryabogin
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08210 A note on Chebyshev polynomials and finite difference wave equation / Anatolii Grinshpan
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08211 Complexvalued solutions of the BenjaminOno equation / Alexandru D. Ionescu and Carlos E. Kenig
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08212 The 2D quasigeostrophic equations in the Sobolev space / Ning Ju
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08213 Convex functions and quasiconformal mappings / Leonid V. Kovalev and Diego Maldonado
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08214 Volterra integral inclusions: existence of solutions / Priscilla Supnet Macansantos
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08215 Bellman function and the $H^1$$\rm BMO$ duality / Leonid Slavin and Alexander Volberg
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08216 Weights and Hölder norms for solutions to a second order elliptic Dirichlet problem on nonsmooth domains / Caroline Sweezy
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08217 Hankel operators and VMO on the bidisc / Erin Terwilleger
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08218 Necessary conditions for optimization problems governed by differential algebraic inclusions / Lianwen Wang
 http://www.ams.org/conm/428/ http://dx.doi.org/10.1090/conm/428/08219
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 Partielle Differentialgleichungen der Geometrie und der Physik. English
 Sauvigny, Friedrich.
 Berlin : Springer, 2006.
 Description
 Book — xiv, 437 p. : ill.
 Partielle Differentialgleichungen der Geometrie und der Physik. English
 Sauvigny, Friedrich.
 Berlin : Springer, 2006.
 Description
 Book — xiv, 388 p. : ill.
 River Edge, N.J. : World Scientific, 2001.
 Description
 Book — 1 online resource (xiii, 458 pages) : illustrations Digital: data file.
 Summary

 Boundary value problems and initial value problems for partial differential equations applications of functionalanalytic and complex methods to mathematical physics partial complex differential equations in the plane complex methods in higher dimensions.
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 Alvarado, Ryan, author.
 Cham : Springer, [2015]
 Description
 Book — viii, 486 pages : illustrations (some color) ; 24 cm.
 Summary

 Introduction.  Geometry of QuasiMetric Spaces. Analysis on Spaces of Homogeneous Type. Maximal Theory of Hardy Spaces. Atomic Theory of Hardy Spaces. Molecular and Ionic Theory of Hardy Spaces. Further Results. Boundedness of Linear Operators Defined on Hp(X). Besov and TriebelLizorkin Spaces on AhlforsRegular QuasiMetric Spaces.
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Shelved by Series title V.2142  Unknown 
 AndreuVaillo, Fuensanta.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2004.
 Description
 Book — 1 online resource (xiv, 342 pages).
 Summary

 1 Total Variation Based Image Restoration. 1.1 Introduction. 1.2 Equivalence between Constrained and Unconstrained Restoration. 1.3 The Partial Differential Equation Satisfied by the Minimum of (1.17). 1.4 Algorithm and Numerical Experiments. 1.5 Review of Numerical Methods. 2 The Neumann Problem for the Total Variation Flow. 2.1 Introduction. 2.2 Strong Solutions in L2(?). 2.3 The Semigroup Solution in L1(?). 2.4 Existence and Uniqueness of Weak Solutions. 2.5 An LNL? Regularizing Effect. 2.6 Asymptotic Behaviour of Solutions. 2.7 Regularity of the Level Lines. 3 The Total Variation Flow in ?N. 3.1 Initial Conditions in L2(?N). 3.2 The Notion of Entropy Solution. 3.3 Uniqueness in Lo(?N). 3.4 Existence in Lloc1. 3.5 Initial Conditions in L2(?N). 3.6 Time Regularity. 3.7 An LNL? Regularizing Effect. 3.8 Measure Initial Conditions. 4 Asymptotic Behaviour and Qualitative Properties of Solutions. 4.1 Radially Symmetric Explicit Solutions. 4.2 Some Qualitative Properties. 4.3 Asymptotic Behaviour. 4.4 Evolution of Sets in ?2: The Connected Case. 4.5 Evolution of Sets in ?2: The Nonconnected Case. 4.6 Some Examples. 4.7 Explicit Solutions for the Denoising Problem. 5 The Dirichlet Problem for the Total Variation Flow. 5.1 Introduction. 5.2 Definitions and Preliminary Facts. 5.3 The Main Result. 5.4 The Semigroup Solution. 5.5 Strong Solutions for Data in L2(?). 5.6 Existence and Uniqueness for Data in L1(?). 5.7 Regularity for Positive Initial Data. 6 Parabolic Equations Minimizing Linear Growth Functionals: L2Theory. 6.1 Introduction. 6.2 Preliminaries. 6.3 The Existence and Uniqueness Result. 6.4 Strong Solution for Data in L2(?)). 6.5 Asymptotic Behaviour. 6.6 Proof of the Approximation Lemma. 7 Parabolic Equations Minimizing Linear Growth Functionals: L1Theory. 7.1 Introduction. 7.2 The Main Result. 7.3 The Semigroup Solution. 7.4 Existence and Uniqueness for Data in L1(?). 7.5 A Remark for Strictly Convex Lagrangians. 7.6 The Cauchy Problem. A Nonlinear Semigroups. A.1 Introduction. A.2 Abstract Cauchy Problem. A.3 Mild Solutions. A.4 Accretive Operators. A.5 Existence and Uniqueness Theorem. A.6 Regularity of Mild Solutions. A.7 Completely Accretive Operators. B Functions of Bounded Variation. B.2 Approximation by Smooth Functions. B.3 Traces and Extensions. B.4 Sets of Finite Perimeter and the Coarea Formula. B.5 Some Isoperimetric Inequalities. B.6 The Reduced Boundary. B.7 Connected Components of Sets of Finite Perimeter. C Pairings Between Measures and Bounded Functions. C.1 Trace of the Normal Component of Certain Vector Fields. Dankwoord/ Acknowledgements.
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25. Crack Theory and Edge Singularities [2003]
 Kapanadze, David.
 Dordrecht : Springer Netherlands, 2003.
 Description
 Book — 1 online resource (xxvii, 485 pages).
 Summary

 Preface. Introduction.
 1: Boundary value problems with the transmission property. 1.1. Symbolic calculus and pseudodifferential operators. 1.2. Parameterdependent boundary value problems. 1.3. General kernel cutoff constructions. 1.4. Notes and complementary remarks.
 2: Operators on manifolds with conical singularities. 2.1. Mellin operators and cone asymptotics. 2.2. The cone algebra. 2.3. Analytic functionals and asymptotics. 2.4. Notes and complementary remarks.
 3: Operators on manifolds with exits to infinity. 3.1. Scalar operators. 3.2. Calculus with operatorvalued symbols. 3.3. Boundary value problems on manifolds with exits to infinity. 3.4. Notes and complementary remarks.
 4: Boundary value problems on manifolds with edges. 4.1. Manifolds with edges and typical operators. 4.2. Weighted Sobolov spaces. 4.3. Operator conventions in the edge pseudodifferential calculus. 4.4. Operatorvalued edge symbols. 4.5. The algebra of edge boundary value problems. 4.6. Further material on edge operators. 4.7. Notes and complementary remarks.
 5: Crack theory. 5.1. Differential operators in crack configurations. 5.2. Parameterdependent calculus in the model cone. 5.3. Local crack theory. 5.4. The global calculus. 5.5. Notes and complementary remarks. Bibliography. List of Symbols. Index.
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 Rassias, Themistocles M.
 Dordrecht : Springer Netherlands, 2003.
 Description
 Book — 1 online resource (ix, 224 pages)
 Summary

 1 HyersUlam stability of a quadratic functional equation in Banach modules. 2 Cauchy and Pexider operators in some function spaces. 3 The median principle for inequalities and applications. 4 On the HyersUlamRassias stability of a Pexiderized quadratic equation II. 5 On the HyersUlamRassias stability of a functional equation. 6 A pair of functional inequalities of iterative type related to a Cauchy functional equation. 7 On approximate algebra homomorphisms. 8 Hadamard and DragomirAgarwal inequalities, the Euler formulae and convex functions. 9 On Ulam stability in the geometry of PDE's. 10 On certain functional equations and mean value theorems. 11 Some general approximation error and convergence rate estimates in statistical learning theory. 12 Functional equations on hypergroups. 13 The generalized Cauchy functional equation. 14 On the AleksandrovRassias problem for isometric mappings.
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 Lupo, Daniela.
 Basel : Birkhäuser Basel, 2003.
 Description
 Book — 1 online resource (VIII, 267 pages).
 Summary

 A Riemann Mapping Type Theorem in Higher Dimensions, Part I: The Conformally Flat Case with Umbilic Boundary
 Computable Information Content and a Simple Application to the Study of DNA
 Bounded Positive Critical Points of Some Multiple Integrals of the Calculus of Variations
 Hilbert Type Numbers for Polynomial ODE's
 S2type Parametric Surfaces with Prescribed Mean Curvature and Minimal Energy
 Representations of Solutions of HamiltonJacobi Equations
 Nonexistence of Global Solutions of Higher Order Evolution Inequalities in?N
 Morse Index Computations for a Class of Functionals Defined in Banach Spaces
 A Global Compactness Result for Elliptic Problems with Critical Nonlinearity on Symmetric Domains
 Variational Methods for Functionals with Lack of Strict Convexity
 Some Remarks on the Semilinear Wave Equation
 Unique Continuation Principles for Some Equations of BenjaminOno Type
 Wellposedness Results for the Modified ZakharovKuznetsov Equation
 A Class of Isoinertial One Parameter Families of Selfadjoint Operators
 Traveling Waves in Nonlinearly Supported Beams and Plates
 Solitary Waves Solutions of a Nonlinear Schrödinger Equation
 Nontrivial Solutions of a Class of Quasilinear Elliptic Problems Involving Critical Exponents
 Solutions of Semilinear Problems in Symmetric Planar Domains
 ODE Behavior and Uniqueness of Branches
 Solutions of an AllenCahn Model Equation
 Some Equations of Nongeometrical Optics
 Speakers.
 Albeverio, Sergio.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2003.
 Description
 Book — 1 online resource (VII, 437 pages).
 Summary

 Contributions: Nonlinear PDE. Singularities, Propagation, Applications (P.R. Popivanov)
 From Wave to KleinGordon Type Decay Rates (F. Hirosawa and M. Reissig)
 Local Solutions to Quasilinear Qeakly Hyperbolic Differential Equations (M. Dreher)
 S(M, g)pseudodifferential Calculus of Manifolds (F. Baldus)
 Domain Perturbations and Capacity in General Hilbert Spaces and Applications to Spectral Theory (A. Noll)
 An Interpolation Family between Gabor and Wavelet Transformations (B. Nazaret and M. Holschneider)
 Formes de Torsion Analytique et Fibrations Singulires (Xiaonan Ma)
 Regularisation of Secondary Characteristic Classes and Unusual Index Formulas for OperatorValued Symbols (G. Rozenblum).
 Maso, Gianni.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 2002.
 Description
 Book — 1 online resource (x, 185 pages).
 Summary

 A Model for Mixtures of Micromagnetic Materials allowing Existence and Regularity
 Variational Properties of a Model for Image Segmentation with Overlapping Regions
 Variational Theory of Weak Geometric Structures
 Optimal Transportation Problems with Free Dirichlet Regions
 Local Minimizers for a Free Gradient Discontinuity Problem in Image Segmentation
 Irrigation
 Symmetrization and Functionals Defined on BV
 Interface Energies and Structured Deformations in Plasticity
 Higher Order Variational Problems and Phase Transitions in Nonlinear Elasticity
 Unstable Crystalline Wulff Shapes in 3D
 Dimension Reduction in Continuum Mechanics
 ReactionDiffusion Equations and Learning
 Contributors
 List of Participants.
 Roitberg, Yakov.
 Dordrecht : Springer Netherlands, 1996.
 Description
 Book — 1 online resource (xi, 420 pages).
 Summary

 Preface.
 0. Introduction.
 1. Functional Spaces.
 2. Space Hs, p, (r)(Omega)
 3. Elliptic BoundaryValue Problem.
 4. Theorem on Complete Collection of Isomorphisms.
 5. Elliptic Problems with Normal Boundary Conditions.
 6. Traces of Generalized Solutions of Elliptic Equations on the Boundary of the Domain.
 7. Local Increase in the Smoothness of Generalized Solutions of Elliptic BoundaryValue Problems, Green's Functions.
 8. Elliptic Problems with Power Singularities on the RightHand Sides. Degenerate Elliptic Problems.
 9. Elliptic BoundaryValue Problems with a Parameter.
 10. Elliptic BoundaryValue Problems for Systems of Equations. Bibliographical Notes. References. Subject Index. Notation.
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 Grubb, Gerd.
 Second edition.  Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 1996.
 Description
 Book — 1 online resource (ix, 526 pages).
 Summary

 1. Standard pseudodifferential boundary problems and their realizations.
 2. The calculus of parameterdependent operators.
 3. Parametrix and resolvent constructions.
 4. Some applications. Appendix. Various prerequisites.
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 Křížek, Michal.
 Dordrecht : Springer Netherlands, 1996.
 Description
 Book — 1 online resource (xiii, 300 pages).
 Summary

 Glossary of Symbols. Foreword.
 1. Introduction.
 2. Mathematical Modelling of Physical Phenomena.
 3. Mathematical Background.
 4. Finite Elements.
 5. Conjugate Gradients.
 6. Magnetic Potential of Transformer Window.
 7. Calculation of Nonlinear Stationary Magnetic Fields.
 8. SteadyState Radiation Heat Transfer Problem.
 9. Nonlinear Anisotropic Heat Conduction in a Transformer Magnetic Core.
 10. Stationary Semiconductor Equations.
 11. Nonstationary Heat Conduction in a Stator.
 12. The TimeHarmonic Maxwell Equations.
 13. Approximation of the Maxwell Equations in Anisotropic Inhomogeneous Media.
 14. Methods for Optimal Shape Design of Electrical Devices. References. Author index. Subject index.
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 Cea, Jean.
 Boston, MA : Birkhäuser Boston, 1996.
 Description
 Book — 1 online resource.
 Summary

 Problèmes aux limites dans des domaines avec points de rebroussement
 Elliptic Problems in Domains with Edges: Anisotropic Regularity and Anisotropic Finite Element Meshes
 Unique Continuation of Harmonic Functions at Boundary Points and Applications to Problems in Complex Analysis
 The Wave Shaping Problem
 Modélisation mathématique des coques linéairement élastiques
 Fully Nonlinear Equations by Linearization and Maximal Regularity and Applications
 Strongly Elliptic Problems near Cuspidal Points and Edges
 Star produit associé à un crochet de Poisson de rang constant
 La méthode des lâchées de tourbillons pour le calcul des efforts aérodynamiques
 Sum of Operators' Method in Abstract Equations
 Constructive Methods for Abstract Differential Equations and Applications
 On Asymptotics of Solutions of Nonlinear Second Order Elliptic Equations in Cylindrical Domains
 Singularities to Solutions in Mathematical Physics Problems in NonSmooth Domains
 Problèmes sensitifs et coques élastiques minces
 Contrôlabilite exacte frontière de l'équation des ondes en présence de singularités
 Interpolation and Extrapolation Spaces in Evolution Equations
 Localisation des singularités sur la frontière et partitions de l'unité
34. Banach Space Complexes [1995]
 Ambrozie, CǎlinGrigore.
 Dordrecht : Springer Netherlands : Imprint : Springer, 1995.
 Description
 Book — 1 online resource (212 pages).
 Summary

 I Preliminaries
 II SemiFredholm complexes
 III Related topics
 Notations.
 Szmydt, Zofia.
 Dordrecht : Springer Netherlands, 1992.
 Description
 Book — 1 online resource (xiv, 222 pages).
 Summary

 I. Introduction.
 1. Terminology and notation.
 2. Elementary facts on complex topological vector spaces.
 1. Multinormed complex vector spaces and their duals.
 2. Inductive and projective limits.
 3. Subspaces. The HahnBanach theorem. Exercise.
 3. A review of basic facts in the theory of distributions.
 1. Spaces DK and (DK)1.
 2. Spaces D(A) and D'(A).
 3. Spaces S and S1.
 4. Spaces E and E1.
 5. Substitution in distributions. Homogeneous distributions.
 6. Classical order of a distribution and extendibility theorems for distributions.
 7. Convolution of distributions.
 8. Tensor product of distributions. Exercises. II. Mellin distributions and the Mellin transformation.
 4. The Fourier and the FourierMellin transformations.
 1. The Fourier transformation in S1.
 2. The FourierMellin transformation in the space of Mellin distributions with support in % MathType!MTEF!2!1!+ % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9LqJc9 % vqaqpepm0xbba9pwe9Q8fs0yqaqpepae9pg0FirpepeKkFr0xfrx % frxb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaWexLMBb50ujb % qegWuDJLgzHbIrHHhaiuqacqWFsbGufaqabeGabaaabaqcLbqacGao % 4pOBaaGcbaqcLbqacWaGaI7q8VHRaWkaaaaaa!450D!$$ R\begin{array}{*{20}{c}} n \\ + \end{array} $$. Exercises.
 5. The spaces of Mellin distributions with support in a polyinterval.
 1. Spaces Ma, ((0, t]) and M1a ((0, t]).
 2. Spaces M(?) ((0, t]) and M1(?) ((0, t]). Exercises.
 6. Operations of multiplication and differentiation in the space of Mellin distributions.
 1. Multiplication and differentiation in Ma, M(?) and their duals.
 2. Mellin multipliers. Exercises.
 7. The Mellin transformation in the space of Mellin distributions.
 1. The Mellin transformation in the space of Mellin distributions and its relations with the FourierLaplace transformation.
 2. Examples of Mellin transforms of some functions.
 3. Mellin transforms of certain cutoff functions. 3.1. Onedimensional smooth cutoff functions. 3.2. nDimensional smooth cutoff functions with a parameter. Exercises.
 8. The structure of Mellin distributions.
 1. Characterizations of Mellin distributions.
 2. Substitution in a Mellin distribution.
 3. Mellin order of a Mellin distribution. Exercises.
 9. PaleyWiener type theorems for the Mellin transformation. Exercises.
 10. Mellin transforms of cutoff functions (continued).
 1. Conical cutoff functions.
 2. The Kinequalities.
 3. The "tangent cones" ?K and related cutoff functions.
 4. Further investigation of the Mellin transform of a conical cutoff function. Exercises.
 11. Important subspaces of Mellin distributions.
 1. Subspaces % MathType!MTEF!2!1!+ % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9LqJc9 % vqaqpepm0xbba9pwe9Q8fs0yqaqpepae9pg0FirpepeKkFr0xfrx % frxb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiuaiaacI % cacaWG4bWaaSaaaeaacaWGKbaabaGaamizaiaadIhaaaGaaiykaiaa % dwhacqGH9aqpcaWGMbaaaa!3EE9!$$ P(x\frac{d}{{dx}})u = f $$.
 2. Subspaces SPr(s, s1 ) of Mellin distributions.
 3. Spaces M(? ?) and Zd(? ?) of distributions with continuous radial asymptotics. Exercises.
 12. The modified Cauchy transformation.
 1. Modified Cauchy and Hilbert transformations in dimension 1.
 2. The case with parameters. Exercises. III. Fuchsian type singular operators.
 13. Fuchsian type ordinary differential operators.
 1. Asymptotic expansions.
 2. The equation % MathType!MTEF!2!1!+ % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9LqJc9 % vqaqpepm0xbba9pwe9Q8fs0yqaqpepae9pg0FirpepeKkFr0xfrx % frxb9adbaqaaeGacaGaaiaabeqaamaabaabaaGcbaGaamytamXvP5 % wqonvsaeHbmv3yPrwyGmvyUnhaiuGajugOaiadaciaaW3Leajjad % acigaa3nhaZPWaiaiG47p6VbaaSqaiaiG47p6ladaciCd9H % caOeXafv3ySLgzGmvETj2BSbacgmGamaiGW9p07xYdCNamaiGW9p0 % xkaKcabKaGaIVOpaaaa!6A3A!$$ MI{s_{(\omega )}} $$ and definition of ordinary Fuchsian type differential operators.
 3. Case of smooth coefficients.
 4. Case of analytic coefficients.
 5. Special functions as generalized analytic functions. Exercises.
 14. Elliptic Fuchsian type partial differential equations in spaces % MathType!MTEF!2!1!+ % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9LqJc9 % vqaqpepm0xbba9pwe9Q8fs0yqaqpepae9pg0FirpepeKkFr0xfrx % frxb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiuaiaacI % cacaWG4bWaaSaaaeaacaWGKbaabaGaamizaiaadIhaaaGaaiykaiaa % dwhacqGH9aqpcaWGMbaaaa!3EE9!$$ P(x\frac{d}{{dx}})u = f $$.
 1. Existence and regularity of solutions on tangent cones ?K.
 2. Case of a proper cone. Exercise.
 15. Fuchsian type partial differential equations in spaces with continuous radial asymptotics.
 1. The radial characteristic set Charg % MathType!MTEF!2!1!+ % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9LqJc9 % vqaqpepm0xbba9pwe9Q8fs0yqaqpepae9pg0FirpepeKkFr0xfrx % frxb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGamaiJeg7aHj % acacied9cQcacGaGasWmaWGqbaaaa!4027!$$ alpha *P $$.
 2. Regularity of solutions in spaces M(? ?) and Zd(? ?). Appendix. Generalized smooth functions and theory of resurgent functions of Jean Ecalle.
 1. Introduction.
 2. Generalized Taylor expansions.
 3. Algebra of resurgent functions of Jean Ecalle.
 4. Applications. List of Symbols.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Huijsmans, C. B.
 Dordrecht : Springer Netherlands, 1992.
 Description
 Book — 1 online resource (vii, 152 pages)
 Summary

 Positive Operators on Krein Spaces. A Remark on the Representation of Vector Lattices as Spaces of Continuous RealValued Functions. Domination of Uniformly Continuous Semigroups. Sums and Extensions of Vector Lattice Homomorphisms. Baillon's Theorem on Maximal Regularity. FractionDense Algebras and Spaces. An Alternative Proof of a RadonNikodym Theorem for Lattice Homomorphisms. Some Remarks on Disjointness Preserving Operators. Weakly Compact Operators and Interpolation. Aspects of Local Spectral Theory for Positive Operators. A WienerYoung Type Theorem for Dual Semigroups. Krivine's Theorem and Indices of a Banach Lattice. Representations of Archimedean Riesz Spaces by Continuous Functions. Some Aspects of the Spectral Theory of Positive Operators. Problem Section.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Cioranescu, Ioana.
 Dordrecht : Springer Netherlands, 1990.
 Description
 Book — 1 online resource (280 pages).
 Summary

 I. Subdifferentiability and Duality Mappings.
 1. Generalities on convex functions.
 2. The subdifferential and the conjugate of a convex function.
 3. Smooth Banach spaces.
 4. Duality mappings on Banach spaces.
 5. Positive duality mappings. Exercises. Bibliographical comments. II Characterizations of Some Classes of Banach Spaces by Duality Mappings.
 1. Strictly convex Banach spaces.
 2. Uniformly convex Banach spaces.
 3. Duality mappings in reflexive Banach spaces.
 4. Duality mappings in LPspaces.
 5. Duality mappings in Banach spaces with the property (h) and (?)1. Exercises. Bibliographical comments. III Renorming of Banach Spaces.
 1. Classical renorming results.
 2. Lindenstrauss' and Trojanski's Theorems. Exercises. Bibliographical comments. IV On the Topological Degree in Finite and Infinite Dimensions.
 1. Brouwer's degree.
 2. BrowderPetryshyn's degree for Aproper mappings.
 3. Pcompact mappings. Exercises. Bibliographical comments. V Nonlinear Monotone Mappings.
 1. Demicontinuity and hemicontinuity for monotone operators.
 2. Monotone and maximal monotone mappings.
 3. The role of the duality mapping in surjectivity and maximality problems.
 4. Again on subdifferentials of convex functions. Exercises. Bibliographical comments. VI Accretive Mappings and Semigroups of Nonlinear Contractions.
 1. General properties of maximal accretive mappings.
 2. Semigroups of nonlinear contractions in uniformly convex Banach spaces.
 3. The exponential formula of CrandallLiggett.
 4. The abstract Cauchy problem for accretive mappings.
 5. Semigroups of nonlinear contractions in Hilbert spaces.
 6. The inhomogeneous case. Exercises. Bibliographical comments. References.
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38. Partial differential equations [1978]
 Different͡sial'nye uravnenii͡a v chastnykh proizvodnykh. English.
 Mikhaĭlov, V. P. (Valentin Petrovich).
 Moscow : Mir Publishers, c1978.
 Description
 Book — 396 p. : ill. ; 22 cm.
 Online

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QA374 .M6273 1978  Available 
 Buis, Gabe R.
 [Washington, National Aeronautics and Space Administration]; for sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Va. [1968]
 Description
 Book — vii, 122 p. 27 cm.
 Summary

 pt.
 1. Lyapunov stability theory and the stability of solutions to partial differential equations, by G. R. Buis.pt.
 2. Contraction groups and equivalent norms, by W. G. Vogt, M. M. Eisen, and G. R. Buis.
 Online

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NASA CR 1100  Available 
40. Derivatives of inner functions [2013]
 Mashreghi, Javad.
 New York : Springer, 2013.
 Description
 Book — 1 online resource (x, 169 pages) : illustrations.
 Summary

 Inner Functions
 The Exceptional Set of an Inner Function
 The Derivative of Finite Blaschke Products
 Angular Derivative
 HpMeans of S'
 BpMeans of S'
 The Derivative of a Blaschke Product
 HpMeans of B'
 BpMeans of B'
 The Growth of Integral Means of B'.
41. The Maz'ya anniversary collection [1999]
 Basel ; Boston : Birkhäuser Verlag, c1999.
 Description
 Book — 2 v. : ill. ; 24 cm.
 Summary

 v. 1. On Maz'ya's work in functional analysis, partial differential equations and applications
 v. 2. Rostock conference on functional analysis, partial differential equations and applications.
(source: Nielsen Book Data)
This is a collection of articles dedicated to V.G. Maz'ya. The first volume shows the variety of his work, whilst the second presents problems of functional analysis, potential theory, linear and nonlinear partial differential equations, theory of function spaces and numerical analysis.
(source: Nielsen Book Data)
This the first volume of a collection of articles dedicated to V.G. Maz'ya on the occasion of his 60th birthday. This volume contains surveys that show his enormous productivity and the large variety of his work.
(source: Nielsen Book Data)
 Online

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QA319 .M38 1999 V.1  Available 
QA319 .M38 1999 V.2  Available 
 Rossmann, Jürgen.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 1999.  Basel Birkhäuser Basel Imprint: Birkhäuser, 1999.
 Description
 Book — 1 online resource (352 pages). Digital: text file; PDF.
 Summary

 The biharmonic obstacle problem with varying obstacles and a related maximal operator
 Maximum and antimaximum principles for some systems involving Schrödinger operators
 Coupling of finite and boundary element methods for the timeharmonic Maxwell equations
 Perturbation of trajectory attractors for dissipative hyperbolic equations
 A review of Hardy inequalities
 Solutions of a class of semilinear differential equations: trace and singularities on the boundary
 Eigenfrequencies of fractal drums
 Approximate identities and stability of discrete convolution operators with flip
 The Dirac equation without spinors
 On symmetry and asymmetry of positive solutions of?u + f (u) = 0 where f is discontinuous
 Hybrid methods for boundary value problems via boundary energy
 Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry
 On the LiebThirring conjecture for a class of potentials
 New results on wave diffraction by canonical obstacles
 Generalized Lucas polynomials matrix theory, and zero's distribution of orthogonal polynomials
 Lower bounds for the generalized counting function
 Pointwise multipliers of LizorkinTriebel spaces
 Nonlinear potentials and trace inequalities
 A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields.
 Rossmann, Jürgen, Author.
 Basel : Birkhäuser Basel : Imprint : Birkhäuser, 1999.  Basel Birkhäuser Basel Imprint: Birkhäuser, 1999.
 Description
 Book — 1 online resource (XII, 364 p.) Digital: text file; PDF.
 Summary

 Vladimir Maz'ya: Friend and mathematician. Recollections
 On Maz'ya's work in potential theory and the theory of function spaces
 1. Introduction
 2. Embeddings and isoperimetric inequalities
 3. Regularity of solutions
 4. Boundary regularity
 5. Nonlinear potential theory
 Maz'ya's works in the linear theory of water waves
 1. Introduction
 2. The unique solvability of the water wave problem
 3. The NeumannKelvin problem
 4. Asymptotic expansions for transient water waves due to brief and highfrequency disturbances
 Maz'ya's work on integral and pseudodifferential operators
 1. Nonelliptic operators
 2. Oblique derivative problem: breakthrough in the generic case of degeneration
 3. Estimates for differential operators in the halfspace
 4. The characteristic Cauchy problem for hyperbolic equations
 5. New methods for solving illposed boundary value problems
 6. Applications of multiplier theory to integral operators
 7. Integral equations of harmonic potential theory on general nonregular surfaces
 8. Boundary integral equations on piecewise smooth surfaces
 Contributions of V. Maz'ya to the theory of boundary value problems in nonsmooth domains
 1. Maz'ya's early work on boundary value problems in nonsmooth domains
 2. General elliptic boundary value problems in domains with point singularities
 3. Boundary value problems in domains with edges
 4. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone
 5. Applications to elastostatics and hydrodynamics
 6. Singularities of solutions to nonlinear elliptic equations at a cone vertex
 On some potential theoretic themes in function theory
 1. Approximation theory
 2. Uniqueness properties of analytic functions
 3. The Cauchy problem for the Laplace equation
 Approximate approximations and their applications
 1. Introduction
 2. Quasiinterpolation
 3. Generating functions for quasiinterpolation of high order
 4. Semianalytic cubature formulas
 5. Cubature of integral operators over bounded domains
 6. Approximate wavelets
 7. Numerical algorithms based upon approximate approximations
 Maz'ya's work on the biography of Hadamard
 Isoperimetric inequalities and capacities on Riemannian manifolds
 1. Introduction
 2. Capacity of balls
 3. Parabolicity of manifolds
 4. Isoperimetric inequality and Sobolev inequality
 5. Capacity and the principal frequency
 6. Cheeger's inequality
 7. Eigenvalues of balls on spherically symmetric manifolds
 8. Heat kernel on spherically symmetric manifolds
 Multipliers of differentiable functions and their traces
 1. Introduction
 2. Description and properties of multipliers
 3. Multipliers in the space of Bessel potentials as traces of multipliers
 An asymptotic theory of nonlinear abstract higher order ordinary differential equations
 Sobolev spaces for domains with cusps
 1. Introduction
 2. Extension theorems
 3. Embedding theorems
 4. Boundary values of Sobolev functions
 Extension theorems for Sobolev spaces
 1. Introduction
 2. Extensions with preservation of class
 3. Estimates for the minimal norm of an extension operator
 4. Extensions with deterioration of class
 Contributions of V.G. Maz'ya to analysis of singularly perturbed boundary value problems
 1. Introduction
 2. Domain with a small hole
 3. General asymptotic theory by Maz'ya, Nazarov and Plamenevskii
 4. Asymptotics of solutions of boundary integral equations under a small perturbation of a corner
 5. Compound asymptotics for homogenization problems
 6. Boundary value problems in 3D1D multistructures
 Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain
 1. Introduction
 2. Formulation of the problem
 3. The leading order approximation
 A history of the Cosserat spectrum
 1. Introduction
 2. The first boundary value problem of elastostatics
 3. The second and other boundaryvalue problems
 4. Applications and other related results
 Boundary integral equations for plane domains with cusps
 1. Introduction
 2. Integral equations in weighted Sobolev spaces
 On Maz'ya type inequalities for convolution operators
 1. Introduction
 2. Onedimensional polynomials
 3. The functions ?x?2? in ? n
 Sharp constants and maximum principles for elliptic and parabolic systems with continuous boundary data
 1. The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions
 2. Exact constants in inequalities of maximum principle type for certain systems and equations of mathematical physics
 3. Maximum modulus principle for elliptic systems
 4. Maximum modulus principle for parabolic systems
 5. Maximum norm principle for parabolic systems
 Lpcontractivity of semigroups generated by parabolic matrix differential operators
 1. Introduction
 2. Preliminaries
 3. Weakly coupled systems
 4. Coupled systems
 Curriculum vitae of Vladimir Maz'ya
 Publications of Vladimir Maz'ya.
 BrazilUSA Conference on Multidimensional Complex Analysis and Partial Differential Equations (1995 : São Carlos, São Paulo, Brazil)
 Providence, R.I. : American Mathematical Society, c1997.
 Description
 Book — ix, 276 p. ; 26 cm.
 Summary

 On extreme points and the strong maximum principle for CR functions by S. Berhanu Symplectic cones and Toeplitz operators by L. Boutet de Monvel A LyapounovSchmidt procedure involving a nonlinear projection by H. Brezis and L. Nirenberg Remarks on commutators of pseudodifferential operators by S. Chanillo A survey on the problem of local solvability for systems of vector fields by P. D. Cordaro Extension of CRstructures for 3dimensional pseudoconcave manifolds by C. L. Epstein and G. M. Henkin Analytic singularities by G. Francsics and N. Hanges Asymptotic behavior of the Bergman kernel and hypergeometric functions by G. Francsics and N. Hanges Quasilinear degenerate elliptic equations in divergence form by P. Guan Remarks on the KleinGordon and Dirac equations by L. Hormander Removable singularities of vector fields and the NirenbergTreves property by J. Hounie and J. Tavares The Levi and Stein problems for elliptic structures by H. Jacobowitz On a priori estimate on a manifold with singularity on the boundary by M. Kuranishi The problem of complexifying a Lie group by L. Lempert Energy methods via coherent states and advanced pseudodifferential calculus by N. Lerner Group invariant convex hypersurfaces with prescribed GaussKronecker curvature by Y. Y. Li Elliptic structures by G. A. Mendoza Mizohata structures on $S^2$: Automorphisms and standardness by A. Meziani Holomorphically nondegenerate algebraic hypersurfaces and their mappings by L. P. Rothschild Analyticity of CR mappings of algebraic hypersurfaces by M. S. Baouendi Propagation of extendibility of CR functions on manifolds with edges by A. Tumanov A note on extremal discs and double valued reflection by S. M. Webster.
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QA319 .B73 1995  Available 
 Singapore ; Teaneck, NJ : World Scientific, c1990.
 Description
 Book — viii, 379 p. : ill. ; 23 cm.
 Online

Available to students, faculty, and staff, by special arrangement in response to COVID19. To protect our access to ETAS, the physical copy is temporarily not requestable.
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QA331.7 .F86 1990  Available 
46. Fixed Point theory and its applications [1976]
 Seminar on Fixed Point Theory and its Applications (1975 : Dalhousie University)
 New York : Academic Press, 1976.
 Description
 Book — xiii, 216 p. : ill. ; 24 cm.
 Online

Available to students, faculty, and staff, by special arrangement in response to COVID19. To protect our access to ETAS, the physical copy is temporarily not requestable.
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QA329.9 .S45 1976  Available 
47. Nonlinear Vibrations and the Wave Equation [2018]
 Haraux, Alain, 1949 author.
 Cham : Springer, 2018.
 Description
 Book — 1 online resource (x, 102 pages). Digital: text file; PDF.
 Summary

 1 Unbounded Linear Operators and Evolution Equations. 2 A Class of Abstract Wave Equations. 3 Almost Periodic Functions and the Abstract Wave Equation. 4 The Wave Equation in a Bounded Domain. 5 The InitialValue Problem for a Mildly Perturbed Wave Equation. 6 The InitialValue Problem in Presence of a Strong Dissipation. 7 Solutions on R+ and Boundedness of the Energy. 8 Existence of Forced Oscillations. 9 Stability of Periodic or Almost Periodic Solutions. 10 The Conservative Case in One Spatial Dimension. 11 The Conservative Case in Several Spatial Dimensions. 12 Thirthy Years After.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 AMS Special Session in Memory of Daryl Geller Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations (2012 : Rochester, N.Y.)
 Providence, Rhode Island : American Mathematical Society, [2013]
 Description
 Book — xix, 195 pages ; 26 cm.
 Summary

This volume contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, held September 2223, 2012, at the Rochester Institute of Technology, Rochester, NY, USA. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications. The commutative part includes shift invariant spaces, abelian group action on Euclidean space and frame theory; the noncommutative part includes representation theory, continuous and discrete wavelets related to four dimensional Euclidean space, frames on symmetric spaces, $C^*$algebras, projective multiresolutions, and free probability algebras. The scope of the book goes beyond traditional harmonic analysis, dealing with Fourier tools, transforms, Fourier bases, and associated function spaces. A number of papers take the step toward wavelet analysis, and even more general tools for analysis/synthesis problems, including papers on frames (overcomplete bases) and their practical applications to engineering, cosmology and astrophysics. Other applications in this book include explicit families of wavelets and frames, as they are used in signal processing, multiplexing, and the study of Cosmic Microwave Background (CMB) radiation. For the purpose of organisation, the book is divided into three parts: noncommutative, commutative, and applications. The first group of papers are devoted to problems in noncommutative harmonic analysis, the second to topics in commutative harmonic analysis, and the third to such applications as wavelet and frame theory and to some realworld applications.
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QA403 .A5275 2012  Unknown 
 Klein, Sebastian, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — viii, 332 pages : illustrations ; 24 cm.
 Summary

  Part I Spectral Data.  Introduction.  Minimal Immersions into the 3Sphere and the SinhGordon Equation.  Spectral Data for Simply Periodic Solutions of the SinhGordon Equation.  Part II The Asymptotic Behavior of the Spectral Data.  The Vacuum Solution.  The Basic Asymptotic of the Monodromy.  Basic Behavior of the Spectral Data.  The Fourier Asymptotic of the Monodromy.  The Consequences of the Fourier Asymptotic for the Spectral Data.  Part III The Inverse Problem for the Monodromy.  Asymptotic Spaces of Holomorphic Functions.  Interpolating Holomorphic Functions.  Final Description of the Asymptotic of the Monodromy.  Nonspecial Divisors and the Inverse Problem for the Monodromy.  Part IV The Inverse Problem for Periodic Potentials (Cauchy Data).  Divisors of Finite Type.  Darboux Coordinates for the Space of Potentials.  The Inverse Problem for Cauchy Data Along the Real Line.  Part V The Jacobi Variety of the Spectral Curve.  Estimate of Certain Integrals.  Asymptotic Behavior of 1Forms on the Spectral Curve.  Construction of the Jacobi Variety for the Spectral Curve.  The Jacobi Variety and Translations of the Potential.  Asymptotics of Spectral Data for Potentials on a Horizontal Strip.  Perspectives.
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Serials  Request 
Shelved by Series title V.2229  Unknown 
 Demengel, Françoise.
 London ; New York : Springer, ©2012.
 Description
 Book — 1 online resource (xviii, 465 pages) : illustrations. Digital: text file; PDF.
 Summary

 Notions from Topology and Functional Analysis
 Sobolev Spaces and Embedding Theorems
 Traces of Functions on Sobolev Spaces
 Fractional Sobolev Spaces
 Elliptic PDE: Variational Techniques
 Distributions with Measures as Derivatives
 Korn's Inequality in L p
 Erratum.
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Articles+
 Articles+ results include