Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes
Analysis of PDEs
2019-06-04 v3 Mathematical Physics
math.MP
Abstract
We consider waves, which obey the semilinear Klein-Gordon equation, propagating in the Friedmann-Lemaitre-Robertson-Walker spacetimes. The equations in the de Sitter and Einstein-de Sitter spacetimes are the important particular cases. We show the global in time existence in the energy class of solutions of the Cauchy problem.
Keywords
Cite
@article{arxiv.1401.3822,
title = {Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes},
author = {Anahit Galstian and Karen Yagdjian},
journal= {arXiv preprint arXiv:1401.3822},
year = {2019}
}