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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: http://dx.doi.org/10.1090/gsm/019
MathSciNet review: MR2597943
MSC: Primary 35-01

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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