| Titre : |
Functional Analysis, Sobolev Spaces and Partial Differential Equations |
| Type de document : |
texte imprimé |
| Auteurs : |
Haïm BREZIS, Auteur |
| Editeur : |
Springer Verlag |
| Année de publication : |
2011 |
| Collection : |
Universitext |
| Importance : |
599 p. |
| ISBN/ISSN/EAN : |
978-0-387-70913-0 |
| Note générale : |
Preface
Contents
Solutions of some exercises
Problems
Partial solutions of the problems
Notation
References
Index |
| Catégories : |
Analyse fonctionnelle
Equations aux dérivées partielles
Hahn-Banach, Théorème de
Hilbert, Espaces de
Sobolev, Espaces de
|
| Index. décimale : |
515.7 Analyse fonctionnelle |
| Résumé : |
The Hahn-Banach therorems. Introduction to the theory of conjugate convex functions
The uniform boundedness principle and the closed graph theorem
Weak topologies. Reflexive spaces. Separable spaces. Uniform convexity
Lp Spaces
Hilbert spaces
Compact operators. Spectral decomposition of self-adjoint compact operators
The Hille-Yosida theorem
Sobolev spaces and the variational formulation of boundary value problems in one dimension
Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions
Evolution problems: the heat equation and the wave equation
Miscellaneous complements |
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