A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces

Details A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces

2009-05-04

arxiv.org/abs/0905.0447v2

Mathematics

Analysis of PDEs

42 pages; v2: minor revisions reflecting referee comments

Scientific paper

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.

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