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Partial Differential Equations, Second edition
About this Title
Lawrence C. Evans, University of California, Berkeley, Berkeley, CA
Publication: Graduate Studies in Mathematics
Publication Year:
1998; Volume 19
ISBNs: 978-0-8218-4974-3 (print); 978-1-4704-1144-2 (online)
DOI: https://doi.org/10.1090/gsm/019
MathSciNet review: MR2597943
MSC: Primary 35-01
This volume is not part of this online collection.
Table of Contents
Chapters
- Chapter 1. Introduction
Part I: Representation Formulas for Solutions
- Chapter 2. Four important linear partial differential equations
- Chapter 3. Nonlinear first-order PDE
- Chapter 4. Other ways to represent solutions
Part II: Theory for linear partial differential equations
- Chapter 5. Sobolev spaces
- Chapter 6. Second-order elliptic equations
- Chapter 7. Linear evolution equations
Part III: Theory for nonlinear partial differential equations
- Chapter 8. The calculus of variations
- Chapter 9. Nonvariational techniques
- Chapter 10. Hamilton–Jacobi equations
- Chapter 11. Systems of conservation laws
- Chapter 12. Nonlinear wave equations
Appendices
- Appendix A. Notation
- Appendix B. Inequalities
- Appendix C. Calculus
- Appendix D. Functional Analysis
- Appendix E. Measure Theory