Functional Analysis, Sobolev Spaces and Partial Differential Equations

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Springer Science & Business Media, Nov 10, 2010 - Mathematics - 600 pages
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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.

 

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Contents

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
References
585
Index
595

Chapter 9
263

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