Title of article
Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions Original Research Article
Author/Authors
S. Gerbi، نويسنده , , B. Said-Houari، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
14
From page
7137
To page
7150
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 , Dynamic boundary conditions , Kelvin–Voigt damping
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863474
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