Strichartz Estimates on Asymptotically de Sitter Spaces Academic Article uri icon


  • In this article we prove a family of local (in time) weighted Strichartz estimates with derivative losses for the Klein-Gordon equation on asymptotically de Sitter spaces and provide a heuristic argument for the non-existence of a global dispersive estimate on these spaces. The weights in the estimates depend on the mass parameter and disappear in the "large mass" regime. We also provide an application of these estimates to establish small-data global existence for a class of semilinear equations on these spaces. 2012 Springer Basel AG.

published proceedings

  • Annales Henri Poincar

author list (cited authors)

  • Baskin, D.

citation count

  • 22

complete list of authors

  • Baskin, Dean

publication date

  • March 2013