Partial Differential Equations
By: Lawrence C. Evans
Edition: 2nd ed.
Series: Graduate studies in mathematics -- v. 19
Publisher: American Mathematical Society
Published: 2010
Place of publication: Providence, R.I
Language: eng
Format: Hardcover
Number of pages: 749
ISBN-13: 9780821849743
Description: "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.
Notes: Includes bibliographical references and index.
Table of contents: title: PART I. REPRESENTATION FORMULAS FOR SOLUTIONS: Four important linear PDE; title: Nonlinear first-order PDE; title: Other ways to represent solutions; title: PART II. THEORY FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS: Sobolev spaces; title: Second-order elliptic equations; title: Linear evolution equations; title: PART III. THEORY FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS: The calculus of variations; title: Nonvariational techniques; title: Hamilton-Jacobi equations; title: Systems of conservation laws; title: Nonlinear wave equations.