Skip to Main Content


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.

Read more about this volume

View other years and volumes:

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