# Partial Differential Equations

American Mathematical Soc., 2010 - 749 páginas
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.

### Índice

 Introduction 2 REPRESENTATION FORMULAS 15 Nonlinear FirstOrder PDE 91 Other Ways to Represent Solutions 167 THEORY FOR LINEAR PARTIAL 253 This chapter surveys the principal theoretical issues concerning the solv 255 ically a typical PDE as follows Fix an integer k 1 and let U denote 292 10 295
 The Calculus of Variations 455 Nonvariational Techniques 529 Nonlinear Wave Equations 661 APPENDICES 699 Inequalities 707 Functional Analysis 722 Measure Theory 732 Bibliography 739

 SecondOrder Elliptic Equations 313 Linear Evolution Equations 373
 Index 745 Página de créditos