Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841440 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 14 Pages |
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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Authors
S. Gerbi, B. Said-Houari,