Uniform estimates for solutions of nonlinear focusing damped wave equations

Autor:	Perrin, Thomas
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	For a damped wave (or Klein-Gordon) equation on a bounded domain, with a focusing power-like nonlinearity satisfying some growth conditions, we prove that a global solution is bounded in the energy space, uniformly in time. Our result applies in particular to the case of a cubic equation on a bounded domain of dimension 3.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.06541 Zobrazit plný text záznamu View this record from Arxiv