A Strichartz estimate for de Sitter space

Details A Strichartz estimate for de Sitter space A Strichartz estimate for de Sitter space

2009-09-14

arxiv.org/abs/0909.2696v3

Mathematics

Analysis of PDEs

9 pages; v3: final version, corrected MSC classes

Scientific paper

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.

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