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arXiv · 0803.3074

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

Karen Yagdjian·Anahit Galstian
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Abstract

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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Karen Yagdjian, Anahit Galstian. 2008-03-20. Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime. https://doi.org/10.1007/s00220-008-0649-4

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