Partial differential 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 g...
Guardado en:
| Autor principal: | |
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| Formato: | Libro |
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| Publicado: |
Providence, R.I. :
American Mathematical Society,
c2010.
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| Edición: | 2nd ed. |
| Colección: | Graduate studies in mathematics ;
19 |
| Materias: |
Tabla de Contenidos:
- 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.
