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Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions |
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| Authors: | S. Gerbi B. Said-Houari |
| Affiliation: | aUniversité de Savoie, LAMA, 73376 Le Bourget-du-Lac Cedex, France |
| 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. |
| Keywords: | Damped wave equations Stable and unstable set Global solutions Blow up Kelvin&ndash Voigt damping Dynamic boundary conditions |
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