Strichartz Estimates on Asymptotically de Sitter Spaces Academic Article

abstract

• 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.

authors

• Baskin, Dean

published proceedings

• Annales Henri Poincar

author list (cited authors)

• Baskin, D.

citation count

• 22

complete list of authors

• Baskin, Dean

publication date

• March 2013

publisher

• Springer Nature  Publisher

published in

• Annales Henri Poincaré  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics

Digital Object Identifier (DOI)

• 10.1007/s00023-012-0187-7

start page

• 221

end page

• 252

volume

• 14

issue

• 2

URL

• http://dx.doi.org/10.1007/s00023-012-0187-7