A Strichartz estimate for de Sitter space
Analysis of PDEs
2010-06-01 v3 Differential Geometry
Abstract
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.
Cite
@article{arxiv.0909.2696,
title = {A Strichartz estimate for de Sitter space},
author = {Dean Baskin},
journal= {arXiv preprint arXiv:0909.2696},
year = {2010}
}
Comments
9 pages; v3: final version, corrected MSC classes