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| Introduction | |
| Representation formulas for solutions: Four important linear partial differential equations | |
| Nonlinear first-order PDE Other ways to represent solutions | |
| Theory for linear partial differential equations: Sobolev spaces | |
| Second-order elliptic equations Linear evolution equations | |
| Theory for nonlinear partial differential equations: The calculus of variations | |
| Nonvariati... MORE | |
| Systems of conservation laws | |
| Nonlinear wave equations | |
| Appendices | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |