# AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

# 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. Hamiltonâ€“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