4.6 Article

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

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 285, Issue 1, Pages 293-344

Publisher

SPRINGER
DOI: 10.1007/s00220-008-0649-4

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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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