38 citations · 178 across the 63 of their papers we have counts for
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math.OC2012
Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation
Kaïs Ammari, Thomas Duyckaerts, Armen Shirikyan
We study a damped semi-linear wave equation in a bounded domain with smooth boundary. It is proved that any sufficiently smooth solution can be stabilised locally by a finite-dimen…
math.AP2012★ 1 cited
Polynomial stabilization of some dissipative hyperbolic systems
K. Ammari, E. Feireisl, S. Nicaise
We study the problem of stabilization for the acoustic system with a spatially distributed damping. Imposing various hypotheses on the structural properties of the damping term, we…
math.AP2012★ 6 cited
Dispersive effects and high frequency behaviour for the Schrödinger equation in star-shaped networks
Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise
We prove the time decay estimates where is an infinite star-shaped network, for the Schrödinger group $e^{it(- \frac{d^2…