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Acknowledgment | ||
Preface to the Second Edition | ||
Preface to the First Edition | ||
List of Frequently Used Symbols | ||
Pt. I | Basic Linear Theory | 1 |
Ch. 1 | Ill-Posed Problems | 3 |
Ch. 2 | Characteristics and Initial-Value Problems | 13 |
Ch. 3 | The One-Dimensional Wave Equation | 17 |
Ch. 4 | Uniqueness and Energy Integrals | 26 |
Ch. 5 | Holmgren's Uniqueness Theorem | 33 |
Ch. 6 | An Initial-Value Problem for a Hyperbolic Equation | 39 |
Ch. 7 | Distribution Theory | 45 |
Ch. 8 | Second-Order Linear Elliptic Equations | 64 |
Ch. 9 | Second-Order Linear Parabolic Equations | 78 |
Pt. II | Reaction - Diffusion Equations | 91 |
Ch. 10 | Comparison Theorems and Monotonicity Methods | 93 |
Ch. 11 | Linearization | 106 |
Ch. 12 | Topological Methods | 126 |
Ch. 13 | Bifurcation Theory | 167 |
Ch. 14 | Systems of Reaction-Diffusion Equations | 192 |
Pt. III | The Theory of Shock Waves | 237 |
Ch. 15 | Discontinuous Solutions of Conservation Laws | 239 |
Ch. 16 | The Single Conservation Law | 265 |
Ch. 17 | The Riemann Problem for Systems of Conservation Laws | 306 |
Ch. 18 | Applications to Gas Dynamics | 337 |
Ch. 19 | The Glimm Difference Scheme | 368 |
Ch. 20 | Riemann Invariants, Entropy, and Uniqueness | 391 |
Ch. 21 | Quasi-Linear Parabolic Systems | 426 |
Pt. IV | The Conley Index | 445 |
Ch. 22 | The Conley Index | 447 |
Ch. 23 | Index Pairs and the Continuation Theorem | 478 |
Ch. 24 | Travelling Waves | 507 |
Ch. 25 | Recent Results | 553 |
Bibliography | 607 | |
Author Index | 621 | |
Subject Index | 625 |
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Add Shock Waves And Reaction-Diffusion Equations, The purpose of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by Charles Conley. It presents the, Shock Waves And Reaction-Diffusion Equations to the inventory that you are selling on WonderClubX
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Add Shock Waves And Reaction-Diffusion Equations, The purpose of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by Charles Conley. It presents the, Shock Waves And Reaction-Diffusion Equations to your collection on WonderClub |