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 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.
 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.
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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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7. 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.
10. 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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15. 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 
16. 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.
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