Functional Analysis, Sobolev Spaces and Partial Differential EquationsSpringer Science & Business Media, 10 nov 2010 - 600 páginas This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list. |
Índice
Chapter 1 | 1 |
Chapter 2 | 31 |
Chapter 3 | 55 |
Chapter 4 | 88 |
Chapter 5 | 131 |
Chapter 6 | 157 |
Chapter 7 | 181 |
Chapter 8 | 200 |
Chapter 10 | 324 |
Chapter 11 | 349 |
Solutions of Some Exercises | 371 |
Problems | 435 |
Partial Solutions of the Problems | 521 |
Notation | 583 |
585 | |
595 | |
Otras ediciones - Ver todo
Functional Analysis, Sobolev Spaces and Partial Differential Equations Haim Brezis Vista previa restringida - 2010 |