A parametrix for the fundamental solution of the KleinGordon equation on asymptotically de Sitter spaces

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.

authors

• Baskin, Dean

published proceedings

• Journal of Functional Analysis

author list (cited authors)

• Baskin, D.

citation count

• 26

complete list of authors

• Baskin, Dean

publication date

• January 2010

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jfa.2010.06.004

start page

• 1673

end page

• 1719

volume

• 259

issue

• 7

URL

• http://dx.doi.org/10.1016/j.jfa.2010.06.004