Notes on Time Decay and Scattering for Some Hyperbolic Problems

Cathleen S. Morawetz9780898710168, 0898710162

Solutions of the wave equation or Maxwell’s equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell’s equations and nonstar shaped reflecting bodies are included.

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Table of contents :
AZOTES ON TIME DECAY AND SCATTERING FOR SOME HYPERBOLIC PROBLEMS……Page 1
Contents……Page 5
Preface……Page 7
CHAPTER 1 Introduction and Survey……Page 9
CHAPTER 2 Rates of Decay and Conservation Methods……Page 19
CHAPTER 3 Exponential Decay……Page 31
CHAPTER 4 Scattering for the Wave Equation by an Obstacle……Page 37
CHAPTER 5 Modes of Decay or Scattering Frequencies……Page 47
CHAPTER 6 Estimates for Reduced Equations……Page 53
CHAPTER 7 The Generalized Huyghens’Principle and Geometrical Optics……Page 63
CHAPTER 8 A Nonlinear Dispersive Problem……Page 71
CHAPTER 9 The Inverse Problem……Page 81
References……Page 87