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Hyperbolic Partial Differential Equations
About this Title
Peter D. Lax, New York University, Courant Institute, New York, NY
Publication: Courant Lecture Notes
Publication Year:
2006; Volume 14
ISBNs: 978-0-8218-3576-0 (print); 978-1-4704-3114-3 (online)
DOI: https://doi.org/10.1090/cln/014
MathSciNet review: MR2273657
MSC: Primary 35-02; Secondary 35Lxx, 35P25, 47A40, 47N20
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Basic notions
- Chapter 2. Finite speed of propagation of signals
- Chapter 3. Hyperbolic equations with constant coefficients
- Chapter 4. Hyperbolic equations with variable coefficients
- Chapter 5. Pseudodifferential operators and energy inequalities
- Chapter 6. Existence of solutions
- Chapter 7. Waves and rays
- Chapter 8. Finite difference approximation to hyperbolic equations
- Chapter 9. Scattering theory
- Chapter 10. Hyperbolic systems of conservation laws
- Appendix A. Huygens’ principle for the wave equation on odd-dimensional spheres
- Appendix B. Hyperbolic polynomials
- Appendix C. The multiplicity of eigenvalues
- Appendix D. Mixed initial and boundary value problems
- Appendix E. Energy decay for star-shaped obstacles