**Graduate Studies in Mathematics**

Volume: 19;
2010;
662 pp;
Softcover

MSC: Primary 35;
Secondary 49; 47

**Print ISBN: 978-1-4704-6942-9
Product Code: GSM/19.R.S**

List Price: $99.00

AMS Member Price: $79.20

MAA Member Price: $89.10

**Electronic ISBN: 978-1-4704-1144-2
Product Code: GSM/19.R.E**

List Price: $93.00

AMS Member Price: $74.40

MAA Member Price: $83.70

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#### Supplemental Materials

# Partial Differential Equations

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*Lawrence C. Evans*

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including

- a new chapter on nonlinear wave equations,
- more than 80 new exercises,
- several new sections,
- a significantly expanded bibliography.

About the First Edition:

I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail. … Evans' book is evidence of his mastering of the field and the clarity of presentation.

—Luis Caffarelli, University of Texas

It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations … Every graduate student in analysis should read it.

—David Jerison, MIT

I use Partial Differential Equations to prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's … I am very happy with the preparation it provides my students.

—Carlos Kenig, University of Chicago

Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge … An outstanding reference for many aspects of the field.

—Rafe Mazzeo, Stanford University

#### Readership

Graduate students and research mathematicians interested in partial differential equations.

#### Reviews & Endorsements

This second edition of the textbook addresses even more of the current research directions on PDEs and Professor Evans should be praised for taking the time and effort to make an already successful and wonderful book even better. Needless to say, I recommend this book, with unreserved enthusiasm, to anyone with an interest on the study of PDEs.

-- Mathematical Reviews

This book would be invaluable for a graduate student preparing to do research in PDEs; I wish I had a copy in graduate school.

-- MAA Reviews

#### Table of Contents

# Table of Contents

## Partial Differential Equations

- Front Cover 11 free
- Contents 88 free
- Preface to the second edition 1212
- Preface to the first edition 1414
- Chapter 1. Introduction 1818 free
- Part I. Representation Formulas for Solutions 3232
- Part II. Theory for Linear Partial Differential Equations 254254
- Part III. Theory for Nonlinear Partial Differential Equations 442442
- Appendices 670670
- Bibliography 706706
- Index 720720
- Back Cover 730730