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

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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Bibliographic Details
Published in:Communications in mathematical physics 2009-01, Vol.285 (1), p.293-344
Main Authors: Yagdjian, Karen, Galstian, Anahit
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Exact sciences and technology
Mathematical and Computational Physics
Mathematical methods in physics
Mathematical Physics
Other topics in mathematical methods in physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-008-0649-4