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arxiv: 0803.3074 · v1 · submitted 2008-03-20 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords solutionsequationfundamentalklein-gordonsitterspacetimearticlecauchy
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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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