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arXiv:0909.2696 [math.AP]AbstractReferencesReviewsResources

A Strichartz estimate for de Sitter space

Dean Baskin

Published 2009-09-14, updated 2010-05-31Version 3

We demonstrate a family of Strichartz estimates for the conformally invariant Klein-Gordon equation on a class of asymptotically de Sitter spaces with C^2 metrics by using well-known local Strichartz estimates and a rescaling argument. This class of metrics includes de Sitter space. We also give an application of the estimates to a semilinear Klein-Gordon equation on these spaces.

Comments: 9 pages; v3: final version, corrected MSC classes
Categories: math.AP, math.DG
Subjects: 35L05, 35Q75, 58J45
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