Global attractors for semilinear hyperbolic equations

Ti-Jun Xiao, Hui-Sheng Ding and Jin Liang

Chaos, Solitons & Fractals, 2008, vol. 37, issue 4, 1040-1047

Abstract: In this paper, we use the generalized semiflow theory to study the longtime dynamical properties for a class of semilinear hyperbolic equations. The existence of global attractors is shown for the equations with no Lipschitz continuity assumption on their nonlinear terms. The results obtained here are generalizations of the related ones in Ball [Ball JM. Global attractors for damped semilinear wave equations. Discret Contin Dyn Syst 2004;10:31–52].

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:4:p:1040-1047

DOI: 10.1016/j.chaos.2006.09.080

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