A parametrix for the fundamental solution of the Klein–Gordon equation on asymptotically de Sitter spaces Academic Article uri icon

abstract

  • In this paper we construct a parametrix for the forward fundamental solution of the wave and Klein-Gordon equations on asymptotically de Sitter spaces without caustics. We use this parametrix to obtain asymptotic expansions for solutions of ({box drawings light vertical}-λ)u=f and to obtain a uniform Lp estimate for a family of bump functions traveling to infinity. © 2010 Elsevier Inc.

author list (cited authors)

  • Baskin, D.

citation count

  • 21

publication date

  • October 2010