Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space
Analysis of PDEs
2008-11-17 v1 Differential Geometry
Abstract
Solutions to the wave equation on de Sitter-Schwarzschild space with smooth initial data on a Cauchy surface are shown to decay exponentially to a constant at temporal infinity, with corresponding uniform decay on the appropriately compactified space.
Cite
@article{arxiv.0811.2229,
title = {Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space},
author = {Richard Melrose and Antônio Sá Barreto and András Vasy},
journal= {arXiv preprint arXiv:0811.2229},
year = {2008}
}