Functional Analysis, Sobolev Spaces and Partial Differential Equations

by Haïm Brézis

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.

Genres: Mathematics, Functional Analysis, Science, Textbooks

614 pages, Paperback

First published January 1, 1983

Reviews

[Alek Frohlich · Rating 4 out of 5]

The book presuposes a background in Measure Theory and some Functional Analysis.

We used it at a summer course (IMPA Functional Analysis 2023) complemented with another more acessible book and I must say I really liked the combo. We could enjoy a wide veriety of exercises and still get a good grasp of the underlying theory.

Brezis on its own makes for a poor introduction to FA as most of the exercises are very specific and shed little to no insight in FA.

I must also say some of the problems at the end of the book are very fun (there is an exercise section after each chapter and a long list of problems at the end of the book)

[Bahidi Fatima]

,,h-j