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Partial differential equations

Author: Lawrence C Evans
Publisher: Providence, R.I. : American Mathematical Society, [2010] ©2010
Series: Graduate studies in mathematics, v. 19.
Edition/Format:   Print book : English : 2nd edView all editions and formats
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lawrence C Evans
ISBN: 9780821849743 0821849743
OCLC Number: 465190110
Description: xxi, 749 pages : illustrations ; 27 cm.
Contents: PART I. REPRESENTATION FORMULAS FOR SOLUTIONS: Four important linear PDE --
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 --
Nonlinear wave equations.
Series Title: Graduate studies in mathematics, v. 19.
Responsibility: Lawrence C. Evans.

Abstract:

"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.

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Goto reference for beginners and experts

by cerniagigante (WorldCat user published 2021-02-26) Excellent Permalink

This is not only the best introductory/intermediate reference for the topic of the mathematical aspects of linear and nonlinear partial differential equations, it is also a manual on how to write readable and enjoyable mathematics.

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