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Evans, Lawrence C., 1949-
Partial differential equations / Lawrence C. Evans
2nd ed
Providence, R.I. : American Mathematical Society, c2010
book jacket
Location Call Number Status
 4th Floor  QA377 .E95 2010    AVAILABLE
Subject(s) Differential equations, Partial
Differential equations, Nonlinear
Physical Description xxi, 749 p. : ill. ; 27 cm
Note Includes bibliographical references (p. 735-740) and index
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
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
Series Graduate studies in mathematics ; v. 19

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