Global existence and decay estimates for the nonlinear wave equations with space-time dependent dissipative term

Autor:	Watanabe, Tomonari
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs 35L72 35L15
Druh dokumentu:	Working Paper
Popis:	We study the global existence and decay estimates for nonlinear wave equations with the space-time dependent dissipative term in an exterior domain. The linear dissipative effect may vanish in a compact space region. Moreover the nonlinear terms need not divergence form. For getting the higher order energy estimates, we introduce an argument using the rescaling. The method is useful to control derivatives of the dissipative coefficient. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1402.3625 Zobrazit plný text záznamu View this record from Arxiv