A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces |
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Authors: | Dean Baskin |
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Affiliation: | Department of Mathematics, Stanford University, Stanford CA 94305, United States |
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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 (□−λ)u=f and to obtain a uniform Lp estimate for a family of bump functions traveling to infinity. |
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Keywords: | Wave equation Klein-Gordon equation Parametrix Microlocal |
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