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

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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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Authors and Affiliations

  1. Department of Mathematics, University of Texas-Pan American, 1201 W. University Drive, Edinburg, TX, 78541-2999, USA

    Karen Yagdjian & Anahit Galstian

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  1. Karen Yagdjian
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  2. Anahit Galstian
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Correspondence to Karen Yagdjian.

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Communicated by G. W. Gibbons

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Yagdjian, K., Galstian, A. Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime. Commun. Math. Phys. 285, 293–344 (2009). https://doi.org/10.1007/s00220-008-0649-4

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