A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
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 Lp estimate for a family of bump functions traveling to infinity.
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