Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
arXiv:0811.2783 · doi:10.1016/j.na.2011.07.026
Abstract
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solutions starting in a stable set are proved. Blow up for solutions of the problem with linear dynamic boundary conditions with initial data in the unstable set is also obtained.
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