Partial differential equations
Evans, Lawrence C.
1949-
creator
text
bibliography
riu
Providence, R.I
American Mathematical Society
c2010
2010
Second edition
monographic
eng
xxi, 749 pages : illustrations ; 27 cm.
"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.
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.
Lawrence C. Evans.
Includes bibliographical references and index.
Differential equations, Partial
Ecuaciones diferenciales, Parciales
515.353
Graduate studies in mathematics ; v. 19
9780821849743
BYT
091109
20171006032018.0
15977783