On Glassey's conjecture for semilinear wave equations in Friedmann-Lema\^itre-Robertson-Walker spacetime
Analysis of PDEs
2021-12-07 v1
Abstract
Consider nonlinear wave equations in the spatially flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey's conjecture for the time derivative nonlinearity. We also show blow-up results for the space time derivative nonlinearity.
Keywords
Cite
@article{arxiv.2103.03746,
title = {On Glassey's conjecture for semilinear wave equations in Friedmann-Lema\^itre-Robertson-Walker spacetime},
author = {Kimitoshi Tsutaya and Yuta Wakasugi},
journal= {arXiv preprint arXiv:2103.03746},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2103.01219, arXiv:2103.00175