Evans, Lawrence C., 1949-
Partial differential equations / Lawrence C. Evans.
— 2nd ed. — Providence, R.I. : American Mathematical Society, c2010. xxi, 749 p. : il. ; 27 cm. — (Graduate studies in mathematics ; 19)
Incluye referencias bibliográficas e índices.
Contenido: 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). — ISBN 0821849743 (alk. paper)
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