Partial Differential Equations

by Evans, Lawrence C.

• ISBN13: 9780821849743
• ISBN10: 0821849743
• Edition: 2nd
• Format: Hardcover
• Copyright: 2010-04-02
• Publisher: Amer Mathematical Society

Summary

"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, and a significantly expanded bibliography."--Publisher's description.

Table of Contents

Introduction

Representation formulas for solutions: Four important linear partial differential equations

Nonlinear first-order PDE Other ways to represent solutions

Theory for linear partial differential equations: Sobolev spaces

Second-order elliptic equations Linear evolution equations

Theory for nonlinear partial differential equations: The calculus of variations

Nonvariational techniques Hamilton-Jacobi equations

Systems of conservation laws

Nonlinear wave equations

Appendices

Bibliography

Index

Table of Contents provided by Publisher. All Rights Reserved.