Título/responsables | Partial differential equations / Lawrence C. Evans. |
Edición |
2nd ed. |
Publicación |
Providence, R.I. : American Mathematical Society, ©2010. |
Detalles físicos |
xxi, 749 págs. : ilustraciones ; 27 cm. |
Colección | Graduate studies in mathematics ; 19
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Notas |
- Incluye referencias bibliográficas e índices.
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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.
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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.
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ISBN |
9780821849743 (alk. paper); 0821849743 (alk. paper) |
Temas |
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Nombres |
Evans, Lawrence C., 1949- |
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