Implicit partial differential equations /
"This book is devoted to a large class of partial differential equations and systems which are nonlinear in the highest derivatives. The authors present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these equati...
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| Main Author: | |
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| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
1999.
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| Series: | Progress in nonlinear partial differential equations and their applications ;
v. 37. |
| Subjects: |
Table of Contents:
- 1. Introduction
- I. First and Second Order PDE's. 2. First Order Equations. 3. Second Order Equations. 4. Comparison with Viscosity Solutions
- II. Systems of Partial Differential Equations. 5. Some Preliminary Results. 6. Existence Theorems for Systems
- III. Applications. 7. The Singular Values Case. 8. The Case of Potential Wells. 9. The Complex Eikonal Equation
- IV. Appendix. 10. Appendix: Piecewise Approximations.