Decay estimates for variable coefficient wave equations in exterior domains
Analysis of PDEs
2009-08-28 v2
Abstract
In this article we consider variable coefficient, time dependent wave equations in exterior domains. We prove localized energy estimates if the domain is star-shaped and global in time Strichartz estimates if the domain is strictly convex.
Cite
@article{arxiv.0806.3409,
title = {Decay estimates for variable coefficient wave equations in exterior domains},
author = {Jason Metcalfe and Daniel Tataru},
journal= {arXiv preprint arXiv:0806.3409},
year = {2009}
}
Comments
15 pages. In the new version, some typos are fixed and a minor correction was made to the proof of Lemma 12