| Titre : |
Second order parabolic differential equations |
| Type de document : |
texte imprimé |
| Auteurs : |
Gary M. Lieberman (1952-....), Auteur |
| Mention d'édition : |
Revised edition |
| Editeur : |
Philadelphia, Pa. ; Singapore : World Scientific |
| Année de publication : |
2005 |
| Importance : |
1 vol. (XIII-447 p.) |
| Format : |
23 cm |
| ISBN/ISSN/EAN : |
978-981-02-2883-5 |
| Note générale : |
PPN 165659726 .- ISBN : 981-02-2883-X (rel.). - 978-981-02-2883-5 (rel.) . - EAN : 978981022883 |
| Langues : |
Anglais (eng) |
| Tags : |
Équations différentielles paraboliques Differential equations, Parabolic |
| Index. décimale : |
515.353 Équations différentielles aux dérivées partielles (p. ex. équations elliptiques, hyperboliques, paraboliques). |
| Résumé : |
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. |
| Note de contenu : |
Bibliogr. p. 421-443. Index |
Second order parabolic differential equations [texte imprimé] / Gary M. Lieberman (1952-....), Auteur . - Revised edition . - Philadelphia, Pa. ; Singapore : World Scientific, 2005 . - 1 vol. (XIII-447 p.) ; 23 cm. ISBN : 978-981-02-2883-5 PPN 165659726 .- ISBN : 981-02-2883-X (rel.). - 978-981-02-2883-5 (rel.) . - EAN : 978981022883 Langues : Anglais ( eng)
| Tags : |
Équations différentielles paraboliques Differential equations, Parabolic |
| Index. décimale : |
515.353 Équations différentielles aux dérivées partielles (p. ex. équations elliptiques, hyperboliques, paraboliques). |
| Résumé : |
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. |
| Note de contenu : |
Bibliogr. p. 421-443. Index |
|
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