Partial differential equations
Lawrence C. Evans.
2nd ed.
Providence, R.I. : American Mathematical Society, ©2010.
xxi, 749 págs. : ilustraciones ; 27 cm.
Serie: Graduate studies in mathematics ; 19
ISBN: 9780821849743 (alk. paper), 0821849743 (alk. paper)
Resumen: "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.
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.
