| Description |
1 online resource (649 pages) |
| Contents |
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 |
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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 |
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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 |
| Notes |
Print version record |
| Subject |
Shock waves.
|
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Reaction-diffusion equations.
|
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Reaction-diffusion equations.
|
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Shock waves.
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| Form |
Electronic book
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| Author |
Chern, S. S
|
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Doob, J. L
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| ISBN |
9781461208730 |
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1461208734 |
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