Shock Waves and Reaction—Diffusion Equations

Table of Contents

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   Book Overview
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   Chapter 1 Ill-Posed Problems
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   Chapter 2 Characteristics and Initial-Value Problems
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   Chapter 3 The One-Dimensional Wave Equation
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   Chapter 4 Uniqueness and Energy Integrals
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   Chapter 5 Holmgren’s Uniqueness Theorem
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   Chapter 6 An Initial-Value Problem for a Hyperbolic Equation
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   Chapter 7 Distribution Theory
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   Chapter 8 Second-Order Linear Elliptic Equations
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    Chapter 9 Second-Order Linear Parabolic Equations
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    Chapter 10 Comparison Theorems and Monotonicity Methods
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    Chapter 11 Linearization
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    Chapter 12 Topological Methods
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    Chapter 13 Bifurcation Theory
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    Chapter 14 Systems of Reaction—Diffusion Equations
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    Chapter 15 Discontinuous Solutions of Conservation Laws
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    Chapter 16 The Single Conservation Law
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    Chapter 17 The Riemann Problem for Systems of Conservation Laws
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    Chapter 18 Applications to Gas Dynamics
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    Chapter 19 The Glimm Difference Scheme
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    Chapter 20 Riemann Invariants, Entropy, and Uniqueness
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    Chapter 21 Quasi-Linear Parabolic Systems
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    Chapter 22 The Conley Index
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    Chapter 23 Index Pairs and the Continuation Theorem
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    Chapter 24 Travelling Waves