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Shock Waves and ReactionDiffusion Equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer New York,
1994.
|
| Edición: | N. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Grundlehren der mathematischen Wissenschaften; Shock Waves and Reaction-Diffusion Equations; Copyright; Acknowledgment; Preface to the Second Edition; Preface to the First Edition; Contents; List of Frequently Used Symbols; Part I Basic Linear Theory; Chapter 1 Ill-Posed Problems; Chapter 2 Characteristics and Initial-Value Problems; Chapter 3 The One-Dimensional Wave Equation; Chapter 4 Uniqueness and Energy Integrals; Chapter 5 Holmgren's Uniqueness Theorem; Chapter 6 An Initial-Value Problem for a Hyperbolic Equation; Chapter 7 Distribution Theory.
- Chapter 8 Second-Order Linear Elliptic EquationsChapter 9 Second-Order Linear Parabolic Equations; Part II Reaction
- Diffusion Equations; Chapter 10 Comparison Theorems and Monotonicity Methods; Chapter 11 Linearization; Chapter 12 Topological Methods; Chapter 13 Bifurcation Theory; Chapter 14 Systems of Reaction-Diffusion Equations; Part III The Theory of Shock Waves; Chapter 15 Discontinuous Solutions of Conservation Laws; Chapter 16 The Single Conservation Law; Chapter 17 The Riemann Problem for Systems of Conservation Laws; Chapter 18 Applications to Gas Dynamics.
- Chapter 20 Riemann Invariants, Entropy, and UniquenessChapter 21 Quasi-Linear Parabolic Systems; Part IV The Conley Index; Chapter 22 The Conley Index; Chapter 23 Index Pairs and the Continuation Theorem; Chapter 24 Travelling Waves; Chapter 25 Recent Results; Bibliography; Author Index; Subject Index.