English

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

Analysis of PDEs 2009-11-13 v1 Mathematical Physics math.MP

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 LpLqL^p-L^q estimates for the solutions of the equation with and without a source term.

Keywords

Cite

@article{arxiv.0803.3074,
  title  = {Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime},
  author = {Karen Yagdjian and Anahit Galstian},
  journal= {arXiv preprint arXiv:0803.3074},
  year   = {2009}
}
R2 v1 2026-06-21T10:23:17.028Z