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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...
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Partial differential equations / Lawrence C. Evans, ... |
| Édition : | 2nd edition, reprinted with corrections 2015 |
| Publié : |
Providence, Rhode Island :
American Mathematical Society
, 2015 |
| Description matérielle : | 1 vol. (XXI-754 p.) |
| Collection : | Graduate studies in mathematics ; 19 |
| Sujets : |
- 1. Introduction.
- Part I: Representation formulas for solutions.
- 2. Four important linear PDE.
- 3. Nonlinear first-order PDE.
- 4. Other ways to represent solutions.
- Part II: Theory for linear partial differential equations.
- 5. Sobolev spaces.
- 6. Second-order elliptic equations.
- 7. Linear evolution equations.
- Part III: Theory for nonlinear partial differential equations.
- 8. The calculus of variations.
- 9. Nonvariational techniques.
- 10. Hamilton-Jacobi equations.
- 11. Systems of conservation laws.
- 12. Nonlinear wave equations.