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 Le Dret, H. author.
 Cham : Springer, [2016]
 Description
 Book — xi, 395 pages : illustrations (some color) ; 24 cm.
 Summary

 Foreword. Mathematical modeling and PDEs. The finite difference method for elliptic problems. A review of analysis. The variational formulation of elliptic PDEs.Variational approximation methods for elliptic PDEs. The finite element method in dimension two. The heat equation. The finite difference method for the heat equation. The wave equation. The finite volume method. Index. References.
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QA297 .I5 V.168  Unknown 
 Different͡sialʹnye uravnenii͡a s chastnymi proizvodnymi 5. English.
 Berlin ; New York : Springer, c1999.
 Description
 Book — 247 p. : ill. ; 25 cm.
 Summary

 Equations with Rapidly Oscillating Solutions by M.V.Fedoryuk Asymptotic Development as t of the Solutions of Exterior Boundary Value Problems for Hyperbolic Equations by B.R.Vainberg The HigherDimensional WKB method or the Ray Method. Its Analogues and Generalizations by V.M.Babich Semiclassical Asymptotics of Eigenfunctions by V.F.Lazutkin The Boundary Layer by A.M.Il'in The Averaging Method for Partial Differential Equations and its Applications by N.S.Bakhvalov, G.P.Panasenko, and A.L.Shtaras.
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QA377 .D64513 1999  Available 
 C.I.M.E. Course on "VectorValued Partial Differential Equations and Applications" (2013 : Cetraro, Italy)
 Cham, Switzerland : Springer ; Firenze : Fondazione CIME, Roberto Conti, [2017]
 Description
 Book — vii, 248 pages : illustrations ; 24 cm.
 Summary

 Preface / John Ball, Paolo Marcellini
 The Pullback equation / Bernard Dacorogna
 The stability of the isoperimetric inequality / Nicola Fusco
 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities / Stefan Müller
 Aspects of PDEs related to fluid flows / Vladimír Šverák.
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Shelved by Series title V.2179  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — ix, 404 pages : illustrations ; 26 cm.
 Summary

 * A. Sequeira, J.P. Dias, A. Valli, P. Secchi, L. Berselli, and F. Crispo, Tributes to Hugo Beirao da Veiga* H. A. Baba, C. Amrouche, and M. Escobedo, Analyticity of the semigroup generated by the Stokes operator with Naviertype boundary conditions on $L^p$spaces* P. Antonelli and P. Marcati, Some results on systems for quantum fluids* C. Bardos and T. T. Nguyen, Remarks on the inviscid limit for the compressible flows* V. Benci and L. L. Baglini, A generalization of Gauss' divergence theorem* L. C. Berselli and S. Spirito, Weak solutions to the NavierStokes equations constructed by semidiscretization are suitable* D. Breit, Existence theory for generalized Newtonian fluids* G. Buttazzo and B. Velichkov, The spectral drop problem* D. Chae, On the vanishing theorems for the discretely selfsimilar solutions to the Hall equations* F. Crispo and P. Maremonti, A high regularity result of solutions to a modified $p$NavierStokes system* R. Farwig, C. Simader, H. Sohr, and W. Varnhorn, General properties of the Helmholtz decomposition in spaces of $L^q$type* E. Feireisl and Y. Sun, Conditional regularity of very weak solutions to the NavierStokesFourier system* F. Flandoli, Possible effect of noise on stretching mechanism* G. P. Galdi and C. R. Grisanti, On the plane steadystate flow of a shearthinning liquid past an obstacle in the singular case* V. Georgiev and A. R. Giammetta, Sectorial Hamiltonians without zero resonance in one dimension* Z. Grujic, Vortex stretching and anisotropic diffusion in the 3D NavierStokes equations* P. Kaplicky, On $L^q$ estimates for planar flows up to boundary* B. Ducomet and S. Necasova, Non equilibrium diffusion limit in a barotropic radiative flow* R. Rautmann, Decomposition of the homogeneous space $\hat{W}^{1,2}$ with respect to the Dirichlet form $\langle \nabla u, \nabla v \rangle$ and applications* S. Rionero, Convection in ternary porous layers with depthdependent permeability and viscosity* F. Miranda and J. F. Rodrigues, On a variational inequality for incompressible nonNewtonian thick flows* E. Molitor and M. Ruzicka, On inhomogeneous $p$NavierStokes systems* Y. Shibata, On the global wellposedness of some free boundary problem for a compressible barotropic viscous fluid flow* V. A. Solonnikov, On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces* A. F. Vasseur, Relative entropy and contraction for extremal shocks of conservation laws up to a shift.
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QA371 .R34125 2016  Unknown 
5. Séminaire équations aux dérivées partielles [1986  ]
 [Palaiseau, France?] : Ecole polytechnique, Centre de mathématiques, 1986
 Description
 Journal/Periodical — v. ; 30 cm
 Online

Available by special arrangement in response to the COVID19 outbreak. Simultaneous access is limited.
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QA374 .S4 1997/1998  Available 
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QA374 .S4 1994/1995  Available 
QA374 .S4 1993/1994  Available 
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QA374 .S4 1986/1987  Available 
QA374 .S4 1985/1986  Available 
6. Equations aux dérivées partielles [1978  1985]
 [Palaiseau, France] : Le Centre, [1978?]1985.
 Description
 Journal/Periodical — 8 v. ; 30 cm.
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QA374 .S4 1984/1985  Available 
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QA374 .S4 1979/1980  Available 
QA374 .S4 1978/1979  Available 
QA374 .S4 1977/1978  Available 
7. Partial differential equations arising from physics and geometry : a volume in memory of Abbas Bahri [2019]
 Cambridge : Cambridge University Press, 2019.
 Description
 Book — xvi, 453 pages : illustrations ; 23 cm.
 Summary

 Preface Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna Rebai, Hassna Riahi and Hatem Zaag Abbas Bahri: a dedicated life Mohamed Ben Ayed
 1. Blowup rate for a semilinear wave equation with exponential nonlinearity in one space dimension Asma Azaiez, Nader Masmoudi and Hatem Zaag
 2. On the role of anisotropy in the weak stability of the NavierStokes system Hajer Bahouri, JeanYves Chemin and Isabelle Gallagher
 3. The motion law of fronts for scalar reactiondiffusion equations with multiple wells: the degenerate case Fabrice Bethuel and Didier Smets
 4. Finitetime blowup for some nonlinear complex GinzburgLandau equations Thierry Cazenave and Seifeddine Snoussi
 5. Asymptotic analysis for the LaneEmden problem in dimension two Francesca de Marchis, Isabella Ianni and Filomena Pacella
 6. A data assimilation algorithm: the paradigm of the 3D Leray model of turbulence Aseel Farhat, Evelyn Lunasin and Edriss S. Titi
 7. Critical points at infinity methods in CR geometry Najoua Gamara
 8. Some simple problems for the next generations Alain Haraux
 9. Clustering phenomena for linear perturbation of the Yamabe equation Angela Pistoia and Giusi Vaira
 10. Towards better mathematical models for physics Luc Tartar.
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QA377 .P378 2019  Unknown 
 Craig, Walter, 1953 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — ix, 205 pages : illustrations ; 27 cm.
 Summary

 Introduction Wave equations The heat equation Laplace's equation Properties of the Fourier transform Wave equations on $\mathbb{R}^n$ Dispersion Conservation laws and shocks Bibliography Index.
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QA377 .C85 2018  Unknown 
 Figalli, Alessio, 1984 author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — ix, 214 pages : illustrations ; 24 cm.
 Summary

 Alberto Farina and Enrico Valdinoci:Introduction.Alessio Figalli:Global Existence for the SemiGeostrophic Equations via Sobolev Estimates for MongeAmpere.Ireneo Peral Alonso: On Some Elliptic and Parabolic Equations Related to Growth Models. Enrico Valdinoci: All Functions are (locally) Sharmonic (up to a small error)  and Applications.
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Shelved by Series title V.2211  Unknown 
 David, Guy, 1957 author.
 Paris : Société Mathématique de France, 2017.
 Description
 Book — ii, 203 pages ; 24 cm.
 Online
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Shelved by Series title V.392  Unknown 
 Vasy, András, author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — x, 281 pages : illustrations ; 27 cm.
 Summary

 * Introduction* Where do PDE come from* First order scalar semilinear equations* First order scalar quasilinear equations* Distributions and weak derivatives* Second order constant coefficient PDE: Types and d'Alembert's solution of the wave equation* Properties of solutions of second order PDE: Propagation, energy estimates and the maximum principle* The Fourier transform: Basic properties, the inversion formula and the heat equation* The Fourier transform: Tempered distributions, the wave equation and Laplace's equation* PDE and boundaries* Duhamel's principle* Separation of variables* Inner product spaces, symmetric operators, orthogonality* Convergence of the Fourier series and the Poisson formula on disks* Bessel functions* The method of stationary phase* Solvability via duality* Variational problems* Bibliography* Index.
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QA377 .V38 2015  Unknown 
 Shearer, Michael, author.
 Princeton : Princeton University Press, [2015]
 Description
 Book — x, 274 pages : illustrations ; 26 cm
 Summary

This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors.
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QA374 .S45 2015  Unknown 
 Rădulescu, Vicenţiu D., 1958 author.
 Boca Raton, FL : CRC Press, [2015]
 Description
 Book — xxi, 301 pages : illustrations ; 24 cm.
 Summary

 Isotropic and Anisotropic Function Spaces Lebesgue and Sobolev Spaces with Variable Exponent History of function spaces with variable exponent Lebesgue spaces with variable exponent Sobolev spaces with variable exponent Dirichlet energies and EulerLagrange equations Lavrentiev phenomenon Anisotropic function spaces Orlicz spaces
 Variational Analysis of Problems with Variable Exponents Nonlinear Degenerate Problems in NonNewtonian Fluids Physical motivation A boundary value problem with nonhomogeneous differential operator Nonlinear eigenvalue problems with two variable exponents A sublinear perturbation of the eigenvalue problem associated to the Laplace operator Variable exponents versus Morse theory and local linking The CaffarelliKohnNirenberg inequality with variable exponent
 Spectral Theory for Differential Operators with Variable Exponent Continuous spectrum for differential operators with two variable exponents A nonlinear eigenvalue problem with three variable exponents and lack of compactness Concentration phenomena: the case of several variable exponents and indefinite potential Anisotropic problems with lack of compactness and nonlinear boundary condition
 Nonlinear Problems in OrliczSobolev Spaces Existence and multiplicity of solutions A continuous spectrum for nonhomogeneous operators Nonlinear eigenvalue problems with indefinite potential Multiple solutions in OrliczSobolev spaces Neumann problems in OrliczSobolev spaces
 Anisotropic Problems: Continuous and Discrete Anisotropic Problems Eigenvalue problems for anisotropic elliptic equations Combined effects in anisotropic elliptic equations Anisotropic problems with noflux boundary condition Bifurcation for a singular problem modelling the equilibrium of anisotropic continuous media
 Difference Equations with Variable Exponent Eigenvalue problems associated to anisotropic difference operators Homoclinic solutions of difference equations with variable exponents Lowenergy solutions for discrete anisotropic equations
 Appendix A: Ekeland Variational Principle Appendix B: Mountain Pass Theorem Bibliography Index A Glossary is included at the end of each chapter.
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QA377 .R33 2015  Unknown 
14. Elements of partial differential equations [2014]
 Drábek, Pavel, 1953 author.
 2nd, revised and extended edition.  Berlin ; Boston : De Gruyter, [2014]
 Description
 Book — xiii, 277 pages : illustrations ; 25 cm.
 Summary

This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrationsitintroduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
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QA374 .D66 2014  Unknown 
15. Formal algorithmic elimination for PDEs [2014]
 Robertz, Daniel, 1977 author.
 Cham : Springer, [2014]
 Description
 Book — viii, 283 pages : illustrations ; 24 cm.
 Summary

 Introduction. Formal Methods for PDE Systems. Differential Elimination for Analytic Functions. Basic Principles and Supplementary Material. References. List of Algorithms. List of Examples. Index of Notation. Index.
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Shelved by Series title V.2121  Unknown 
16. Introduction to partial differential equations for scientists and engineers using Mathematica [2014]
 Adzievski, Kuzman, author.
 Boca Raton, FL : CRC Press, [2014]
 Description
 Book — xiii, 634 pages : illustrations ; 25 cm
 Summary

 Fourier Series The Fourier Series of a Periodic Function Convergence of Fourier Series Integration and Differentiation of Fourier Series Fourier Sine and Fourier Cosine Series Mathematica Projects Integral Transforms The Fourier Transform and Elementary Properties Inversion Formula of the Fourier Transform Convolution Property of the Fourier Transform The Laplace Transform and Elementary Properties Differentiation and Integration of the Laplace Transform Heaviside and Dirac Delta Functions Convolution Property of the Laplace Transform Solution of Differential Equations by the Integral Transforms The SturmLiouville Problems Regular SturmLiouville Problem Eigenvalues and Eigenfunctions Eigenfunction Expansion Singular SturmLiouville Problem: Legendre's Equation Singular SturmLiouville Problem: Bessel's Equation Partial Differential Equations Basic Concepts and Definitions Formulation of Initial and Boundary Problems Classification of Partial Differential Equations Some Important Classical Linear Partial Differential Equations The Principle of Superposition First Order Partial Differential Equations Linear Equations with Constant Coefficients Linear Equations with Variable Coefficients First Order NonLinear Equations Cauchy's Method of Characteristics Mathematica Projects Hyperbolic Partial Differential Equations The Vibrating String and Derivation of the Wave Equation Separation of Variables for the Homogeneous Wave Equation D'Alambert's Solution of the Wave Equation Inhomogeneous Wave Equations Solution of the Wave Equation by Integral Transforms Two Dimensional Wave Equation: Vibrating Membrane The Wave Equation in Polar and Spherical Coordinates Numerical Solutions of the Wave Equation Mathematica Projects Parabolic Partial Differential Equations Heat Flow and Derivation of the Heat Equation Separation of Variables for the One Dimensional Heat Equation Inhomogeneous Heat Equations Solution of the Heat Equation by Integral Transforms Two Dimensional Heat Equation The Heat Equation in Polar and Spherical Coordinates Numerical Solutions of the Heat Equation Mathematica Projects Elliptic Partial Differential Equations The Laplace and Poisson Equations Separation of Variables for the Laplace Equation The Laplace Equation in Polar and Spherical Coordinates Poisson Integral Formula Numerical Solutions of the Laplace Equation Mathematica Projects Appendix A. Special Functions Appendix B. Table of the Fourier Transform of Some Functions Appendix C. Table of the Laplace Transform of Some Functions.
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QA377 .A47 2014  Unknown 
 Davis, John M.
 New York : W. H. Freeman & Co., c2013.
 Description
 Book — xii, 313 p., [4] p. of plates : ill. (some col.) ; 24 cm
 Summary

 Introduction to PDEs
 Fourier's method: separation of variables
 Fourier series theory
 General orthogonal series expansions
 PDEs in higher dimensions
 PDEs in other coordinate systems
 PDEs on unbounded domains
 Appendix.
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QA374 .D364 2013  Unknown 
18. Partial differential equations [2013]
 Jost, Jürgen, 1956
 Third edition.  New York : Springer, c2013.
 Description
 Book — xiii, 410 pages ; 24 cm.
 Summary

 Preface. Introduction: What are Partial Differential Equations?. 1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order. 2 The Maximum Principle. 3 Existence Techniques I: Methods Based on the Maximum Principle. 4 Existence Techniques II: Parabolic Methods. The Heat Equation. 5 ReactionDiffusion Equations and Systems. 6 Hyperbolic Equations. 7 The Heat Equation, Semigroups, and Brownian Motion. 8 Relationships between Different Partial Differential Equations. 9 The Dirichlet Principle. Variational Methods for the Solutions of PDEs (Existence Techniques III). 10 Sobolev Spaces and L^2 Regularity theory. 11 Strong solutions. 12 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV). 13The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash. Appendix: Banach and Hilbert spaces. The L^pSpaces. References. Index of Notation. Index.
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QA377 .J66 2013  Unknown 
 Basel : Birkhäuser, c2011
 Description
 Book — vi, 367 p. : ill. ; 24 cm.
 Summary

 Toeplitz operators and asymptotic equivariant index / L. Boutet de Monvel
 Boundary value problems of analytic and harmonic functions in a domain with piecewise smooth boundary in the frame of variable exponent Lebesgue spaces / V. Kokilashvili
 Edgedegenerate operators at conical exits to infinity / B.W. Schulze
 On a method for solving boundary problems for a thirdorder equation with multiple characteristics / Y.P. Apakov
 On stability and trace regularity of solutions to ReissnerMindlinTimoshenko equations / G. Avalos and D. Toundykov
 Linearization of a coupled system of nonlinear elasticity and viscous fluid / L. Bociu and J.P. Zolésio
 Some results of the identification of memory kernels / F. Colombo and D. Guidetti
 A kuniform maximum principle when 0 is an eigenvalue / G. Fragnelli and D. Mugnai
 Steadystate solutions for a general brusselator system / M. Ghergu
 Ordinary differential equations with distributions as coefficients in the sense of the theory of new generalized functions / U.U. Hrusheuski
 A boundary condition and spectral problems for the Newton potential / T.Sh. Kalmenov and D. Suragan
 An extremum principle for a class of hyperbolic type equations and for operators connected with them / I.U. Khaydarov, M.S. Salakhitdinov and A.K. Urinov
 Numerical investigations of tangled flows in a channel of constant and variable section at presence of recirculation zone / S. Khodjiev
 The optimal interior regularity for the critical case of a clamped thermoelastic system with point control revisited / C. Lebiedzik and R. Triggiani
 Multidimensional controllability problems with memory / P. Loreti and D. Sforza
 The Schrödinger flow in a compact manifold: highfrequency dynamics and dispersion / F. Macià
 Optimality of the asymptotic behavior of the energy for wave models / M. Reissig
 On singular systems of parabolic functional equations / L. Simon
 Boundaryvalue problems for a class of thirdorder composite type equations / O.S. Zikirov
 Shapemorphic metric, geodesic stability / J.P. Zolésio.
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QA374 .M76 2011  Unknown 
20. Partial differential equations [2011  ]
 Taylor, Michael E., 1946
 2nd ed.  New York : Springer, c2011
 Description
 Book — v. : ill. ; 24 cm.
 Summary

 1. Basic theory
 2. Qualitative studies of linear equations
 3. Nonlinear equations.
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The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
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The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of CalderonZygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis.
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