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

- Journal title : Communications of the Korean Mathematical Society
- Volume 27, Issue 1, 2012, pp.97-106
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2012.27.1.097

Title & Authors

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

Zhu, Chaosheng;

Zhu, Chaosheng;

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;

Language

English

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