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

Research paper by Karen Yagdjian, Anahit Galstian

Indexed on: 20 Mar '08Published on: 20 Mar '08Published in: Mathematics - Analysis of PDEs



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.