Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 259, Issue 7, Pages 1673-1719Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2010.06.004
Keywords
Wave equation; Klein-Gordon equation; Parametrix; Microlocal
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Funding
- NSF [DMS-0805529, DMS-0801226]
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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 (square - lambda)u = f and to obtain a uniform LP estimate for a family of bump functions traveling to infinity. (C) 2010 Elsevier Inc. All rights reserved.
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