Fundamental Solutions for Wave Equation in de Sitter Model of Universe
Analysis of PDEs
2007-10-23 v1 Mathematical Physics
math.MP
Abstract
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 -decay estimates for the solutions of the equation with and without a source term.
Keywords
Cite
@article{arxiv.0710.3878,
title = {Fundamental Solutions for Wave Equation in de Sitter Model of Universe},
author = {Karen Yagdjian and Anahit Galstian},
journal= {arXiv preprint arXiv:0710.3878},
year = {2007}
}
Comments
36 pages; http://www.math.uni-potsdam.de/prof/a_partdiff/prepr/2007_06.pdf