A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
arXiv:0905.0447
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.
42 pages; v2: minor revisions reflecting referee comments