LONG-TIME BEHAVIOR OF STRONGLY DAMPED NONLINEAR-WAVE EQUATIONS

Citation
Fx. Chen et al., LONG-TIME BEHAVIOR OF STRONGLY DAMPED NONLINEAR-WAVE EQUATIONS, Journal of differential equations (Print), 147(2), 1998, pp. 231-241
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00220396
Volume
147
Issue
2
Year of publication
1998
Pages
231 - 241
Database
ISI
SICI code
0022-0396(1998)147:2<231:LBOSDN>2.0.ZU;2-V
Abstract
We consider the long time behavior of a strongly damped nonlinear wave equation. We will show that the initial boundary value problem has a global solution and that there exists a compact global attractor with finite dimension. (C) 1998 Academic Press.