Partial differential equations

Authors:Lawrence C. Evans, American Mathematical Society

Summary:Presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with emphasis on nonlinear equations. This work emphasizes the modern interplay between functional analytic insights and calculus-type estimates within the context of Sobolev spaces. It is suitable for a graduate course in PDEs.

Edition:View all formats and editions

Series:

Graduate Studies in Mathematics, v. 19

Physical Description:xvii, 662 p. ; 26 cm

ISBN:

9780821807729, 0821807722

OCLC Number / Unique Identifier:1024899433

Subjects:

Ecuaciones en derivadas parciales

Contents:

Introduction Part I: Representation formulas for solutions: Four important linear partial differential equations Nonlinear first-order PDE Other ways to represent solutions Part II: Theory for linear partial differential equations: Sobolev spaces Second-order elliptic equations Linear evolution equations Part III: Theory for nonlinear partial differential equations: The calculus of variations Nonvariational techniques Hamilton-Jacobi equations Systems of conservation laws Appendices Bibliography Index.