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Partial differential equations /

Evans, Lawrence C., (1949-)

Partial differential equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Partial differential equations /Lawrence C. Evans.
作者:	Evans, Lawrence C.,
出版者:	Providence, R.I. :American Mathematical Society,c2010.
面頁冊數:	xxi, 754 p. :ill. ;27 cm.
標題:	Differential equations, Partial.
ISBN:	9780821849743 (alk. paper)

Partial differential equations /
Evans, Lawrence C.,1949-

Partial differential equations /Lawrence C. Evans. - 2nd ed. - Providence, R.I. :American Mathematical Society,c2010. - xxi, 754 p. :ill. ;27 cm. - Graduate studies in mathematics ;v. 19. - Graduate studies in mathematics ;v. 102..

Includes bibliographical references and index.

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.

"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.

ISBN: 9780821849743 (alk. paper)

LCCN: 2009044716Subjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA377 / .E92 2010

Dewey Class. No.: 515/.353

Partial differential equations /
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490 1 $a Graduate studies in mathematics ; $v v. 19
504 $a Includes bibliographical references and index.
505 0 # $a 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.
520 # $a "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.
650 # 0 $a Differential equations, Partial. $3 189753
830 0 $a Graduate studies in mathematics ; $v v. 102. $3 736384