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...
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2010
Providence, R.I. : [2010], ©2010 Providence, R.I. : c2010 Providence, R.I. : ©2010 Providence, R.I. : [2010] |
| Edition: | 2nd ed |
| Series: | Graduate studies in mathematics ;
v. 19 Graduate studies in mathematics v. 19 |
| Subjects: |
Table of Contents:
- 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
- Part I. Prepresentation formulas for solutions: Four important linear partial differential equations
- 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