Notes on Time Decay and Scattering for Some Hyperbolic Problems

An analysis of the solutions of the wave equation or Maxwell's equations in boundary value and free space problems.

Cathleen S. Morawetz (Author)

9780898710168, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 June 1975

87 pages
25.2 x 17.2 x 0.6 cm, 0.166 kg

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 non-star shaped reflecting bodies are included.

Rates of Decay and Conservation Methods
Exponential Decay
Scattering for the Wave Equation by an Obstacle
Modes of Decay or Scattering Frequencies
Estimates for Reduced Equations
The Generalized Huyghens' Principle and Geometric Optics
A Nonlinear Dispersive Problem
The Inverse Problem.

Subject Areas: Nonlinear science [PBWR], Numerical analysis [PBKS]