Proceedings of the Centre for Mathematics and its Applications

A Strichartz Estimate for de Sitter Space

Dean Baskin

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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.

Article information

Source
The AMSI-ANU workshop on spectral theory and harmonic analysis. Andrew Hassell, Alan McIntosh and Robert Taggart, eds. Proceedings of the Centre for Mathematics and its Applications, v. 44. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2010), 97-104

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416320872

Mathematical Reviews number (MathSciNet)
MR2655389

Zentralblatt MATH identifier
1227.35101

Citation

Baskin, Dean. A Strichartz Estimate for de Sitter Space. The AMSI–ANU Workshop on Spectral Theory and Harmonic Analysis, 97--104, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2010. https://projecteuclid.org/euclid.pcma/1416320872


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