The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lema\^itre-Robertson-Walker spacetimes
Mathematical Physics
2024-11-06 v1 math.MP
Abstract
The Cauchy problem for semi-linear Klein-Gordon equations is considered in Friedmann-Lema\^itre-Robertson-Walker spacetimes. The local and global well-posedness of the Cauchy problem is considered in Sobolev spaces. The non-existence of global solutions is also considered.
Keywords
Cite
@article{arxiv.2411.02872,
title = {The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lema\^itre-Robertson-Walker spacetimes},
author = {Makoto Nakamura and Takuma Yoshizumi},
journal= {arXiv preprint arXiv:2411.02872},
year = {2024}
}