Applications of Cutoff Resolvent Estimates to the Wave Equation
Analysis of PDEs
2007-11-19 v2
Abstract
We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set. We obtain a polynomial rate of local energy decay with exponent depending only on the dimension.
Keywords
Cite
@article{arxiv.0709.0555,
title = {Applications of Cutoff Resolvent Estimates to the Wave Equation},
author = {Hans Christianson},
journal= {arXiv preprint arXiv:0709.0555},
year = {2007}
}
Comments
11 pages