Fundamental Solutions for Wave Equation in de Sitter Model of Universe

Details Fundamental Solutions for Wave Equation in de Sitter Model of Universe Fundamental Solutions for Wave Equation in de Sitter Model of Universe

2007-10-20

arxiv.org/abs/0710.3878v1

Mathematics

Analysis of PDEs

36 pages; http://www.math.uni-potsdam.de/prof/a_partdiff/prepr/2007_06.pdf

Scientific paper

In this article we construct the fundamental solutions for the wave equation
arising in the de Sitter model of the universe. We use the fundamental
solutions to represent solutions of the Cauchy problem and to prove the
$L^p-L^q$-decay estimates for the solutions of the equation with and without a
source term.

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