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http://dx.doi.org/10.4134/CKMS.2012.27.1.097

GLOBAL ATTRACTOR OF THE WEAKLY DAMPED WAVE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS  

Zhu, Chaosheng (School of mathematics and statistics Southwest University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.1, 2012 , pp. 97-106 More about this Journal
Abstract
In this paper, the main purpose is to study existence of the global attractors for the weakly damped wave equation with nonlinear boundary conditions. To this end, we first show that the existence o a bounded absorbing set by the perturbed energy method. Secondly, we utilize the decomposition of the solution operator to verify the asymptotic compactness.
Keywords
wave equation; nonlinear boundary conditions; global attractor;
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