Subject(s) 
Differential equations, Partial


Differential equations, Nonlinear

Physical Description 
xxi, 749 p. : ill. ; 27 cm 
Note 
Includes bibliographical references (p. 735740) and index 
Contents 
PART I. REPRESENTATION FORMULAS FOR SOLUTIONS: Four important linear PDE  Nonlinear firstorder PDE  Other ways to represent solutions  PART II. THEORY FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS: Sobolev spaces  Secondorder elliptic equations  Linear evolution equations  PART III. THEORY FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS: The calculus of variations  Nonvariational techniques  HamiltonJacobi 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

