Blow up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lema\^{i}tre-Robertson-Walker spacetime

Autor:	Tsutaya, Kimitoshi, Wakasugi, Yuta
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs 35L05 35L70 35P25
Zdroj:	Reviews in Mathematical Physics 33 (2022), 2250003
Druh dokumentu:	Working Paper
DOI:	10.1142/S0129055X22500039
Popis:	Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann-Lema\^{i}tre-Robertson-Walker spacetimes. For the case of accelerated expansion, we show that blow-up in a finite time occurs for the equation with arbitrary power nonlinearity as well as upper bounds of the lifespan of blow-up solutions. Comparing to the case of the Minkowski spacetime, we discuss how the scale factor affects the lifespan of blow-up solutions of the equation. Comment: 19 pages. arXiv admin note: substantial text overlap with arXiv:2103.00175
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.01219 Zobrazit plný text záznamu View this record from Arxiv