9780821849743

Partial Differential Equations

by
  • ISBN13:

    9780821849743

  • ISBN10:

    0821849743

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 4/2/2010
  • Publisher: Amer Mathematical Society

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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.

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