Notes On Time Decay And Scattering For Some Hyperbolic Problems Lectures From A Regional Conference On Exterior Initial Boundary Value Problems For Hyperbolic Differential Equations Regional Conference Series In Applied Mathematics Conference Board Of Mathematical Sciences
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Notes on Time Decay and Scattering for Some Hyperbolic Problems
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.
Geometric Wave Equations
Author: Jalal M. Ihsan Shatah
language: en
Publisher: American Mathematical Soc.
Release Date: 2000
This volume contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the recent work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions. Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on the topic. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.