Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions

Abstract
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the KelvinVoigt 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. © 2011 Elsevier Ltd. All rights reserved.

Citation
Gerbi, S., & Said-Houari, B. (2011). Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions. Nonlinear Analysis: Theory, Methods & Applications, 74(18), 7137–7150. doi:10.1016/j.na.2011.07.026

Publisher
Elsevier BV

Journal
Nonlinear Analysis: Theory, Methods & Applications

DOI
10.1016/j.na.2011.07.026

arXiv
0811.2783

Additional Links
http://arxiv.org/abs/arXiv:0811.2783v3

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