Second order parabolic differential equations / Gary M. Lieberman

Auteur principal : Lieberman, Gary M., 1952-, AuteurType de document : MonographieLangue : anglais.Pays: Singapour.Mention d'édition: Revised ed.Éditeur : World Scientific, Singapore, 2005Description : 1 vol. (XIII-447 p.) ; 24 cmISBN: 9789810228835.Bibliographie : Bibliogr. p. 421-443. Index.Sujet MSC : 35-02, Research exposition (monographs, survey articles) pertaining to partial differential equations
35K20, PDEs - Parabolic equations and parabolic systems, Initial-boundary value problems for second-order parabolic equations
35Bxx, Partial differential equations - Qualitative properties of solutions to PDEs
35K55, PDEs - Parabolic equations and parabolic systems, Nonlinear parabolic equations
35K10, PDEs - Parabolic equations and parabolic systems, Second-order parabolic equations
En-ligne : World Scientific
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 Monographie Monographie CMI
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35 LIE (Browse shelf(Opens below)) Available 12248-01

Bibliogr. p. 421-443. Index

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, and regularity of solutions to a variety of problems with Dirichlet boundary conditions and general linear and nonlinear boundary conditions by means of a priori estimates. The first seven chapters give a description of the linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for smooth solutions. They include much of the author's research and are aimed at researchers in the field. A unique feature is the emphasis on time-varying domains. (Source : World Scientific)

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