A parametrix for the fundamental solution of the KleinGordon 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}-)u=f and to obtain a uniform Lp estimate for a family of bump functions traveling to infinity. 2010 Elsevier Inc.

published proceedings

  • Journal of Functional Analysis

author list (cited authors)

  • Baskin, D.

publication date

  • January 1, 2010 11:11 AM