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.

The first edition of this book is still available. Click here for more information.

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.

Table of Contents

• Introduction

• Four important linear partial differential equations
• Nonlinear first-order PDE
• Other ways to represent solutions

• Sobolev spaces
• Second-order elliptic equations
• Linear evolution equations

• The calculus of variations
• Nonvariational techniques
• Hamilton-Jacobi equations
• Systems of conservation laws
• Nonlinear wave equations
• Appendices
• Bibliography
• Index