2 papers
math.OC2012
Local energy decay for the wave equation with nonlinear time dependent damping
A. Bchatnia, M. Daoulatli
This paper addresses a wave equation on a exterior domain in R^{d}(d odd) with nonlinear time dependent dissipation. Under a microlocal geometric condition we prove that the decay…
math.AP2011
Stabilization of the wave equation with external force
Moez Daoulatli
We study the rate of decay of the energy functional of solutions of the wave equation with localized damping and a external force. We prove that the decay rates of the energy funct…