Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime

Details Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime

2008-03-20

arxiv.org/abs/0803.3074v1

Comm. Math. Phys., 285 (2009), 293-344.

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00220-008-0649-4

In this article we construct the fundamental solutions for the Klein-Gordon
equation in de Sitter spacetime. We use these fundamental solutions to
represent solutions of the Cauchy problem and to prove $L^p-L^q$ estimates for
the solutions of the equation with and without a source term.

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