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math.AP2015
A remark on observability of the wave equation with moving boundary
K. Ammari, A. Bchatnia, K. El Mufti
We deal with the wave equation with assigned moving boundary () upon which Dirichlet or mixed boundary conditions are specified, here is assumed to move slower tha…
math.AP2015
Stabilization of the nonlinear damped wave equation via linear weak observability
K. Ammari, A. Bchatnia, K. El Mufti
We consider the problem of energy decay rates for nonlinearly damped abstract infinite dimensional systems. We prove sharp, simple and quasi-optimal energy decay rates through an i…