Partial differential equations
Lawrence C. Evans
- 2nd ed
- Providence, R.I American Mathematical Society c2010
- xxi, 749 p ill 27 cm
- Graduate studies in mathematics v. 19 .
- Graduate studies in mathematics .
Contine bibliogr. si 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