TY - JOUR
T1 - Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
AU - Gerbi, Stéphane
AU - Said-Houari, Belkacem
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2011/12
Y1 - 2011/12
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/561936
UR - http://arxiv.org/abs/arXiv:0811.2783v3
UR - http://www.scopus.com/inward/record.url?scp=80052818827&partnerID=8YFLogxK
U2 - 10.1016/j.na.2011.07.026
DO - 10.1016/j.na.2011.07.026
M3 - Article
SN - 0362-546X
VL - 74
SP - 7137
EP - 7150
JO - Nonlinear Analysis: Theory, Methods & Applications
JF - Nonlinear Analysis: Theory, Methods & Applications
IS - 18
ER -