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

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

2008-11-17

arxiv.org/abs/0811.2783v3

Mathematics

Analysis of PDEs

Scientific paper

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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