On a semilinear wave equation in anti-de Sitter spacetime: the critical case
Analysis of PDEs
2022-11-23 v1
Abstract
In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the critical case. According to this purpose, we combine an ODI result with an iteration argument, by using an explicit integral representation formula for the solution to a linear Cauchy problem associated with the wave equation in anti-de Sitter spacetime in one space dimension.
Keywords
Cite
@article{arxiv.2201.10729,
title = {On a semilinear wave equation in anti-de Sitter spacetime: the critical case},
author = {Alessandro Palmieri and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:2201.10729},
year = {2022}
}