A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
Analysis of PDEs
2010-06-01 v2 Differential Geometry
Abstract
In this paper we construct a parametrix for the forward fundamental solution of the wave and Klein-Gordon equations on asymptotically de Sitter spaces without caustics. We use this parametrix to obtain asymptotic expansions for solutions of the inhomogeneous equation and to obtain a uniform L^p estimate for a family of bump functions traveling to infinity.
Keywords
Cite
@article{arxiv.0905.0447,
title = {A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces},
author = {Dean Baskin},
journal= {arXiv preprint arXiv:0905.0447},
year = {2010}
}
Comments
42 pages; v2: minor revisions reflecting referee comments