A Strichartz estimate for de Sitter space

Understand

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.