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Hyperbolic Partial Differential Equations and Geometric Optics
About this Title
Jeffrey Rauch, University of Michigan, Ann Arbor, MI
Publication: Graduate Studies in Mathematics
Publication Year:
2012; Volume 133
ISBNs: 978-0-8218-7291-8 (print); 978-0-8218-8508-6 (online)
DOI: https://doi.org/10.1090/gsm/133
MathSciNet review: MR2918544
MSC: Primary 35-01; Secondary 35A18, 35A27, 35A30, 35L15, 35L45, 35Q60
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Simple examples of propagation
- Chapter 2. The linear Cauchy problem
- Chapter 3. Dispersive behavior
- Chapter 4. Linear elliptic geometric optics
- Chapter 5. Linear hyperbolic geometric optics
- Chapter 6. The nonlinear Cauchy problem
- Chapter 7. One phase nonlinear geometric optics
- Chapter 8. Stability for one phase nonlinear geometric optics
- Chapter 9. Resonant interaction and quasilinear systems
- Chapter 10. Examples of resonance in one dimensional space
- Chapter 11. Dense oscillations for the compressible Euler equations