38 citations · 178 across the 63 of their papers we have counts for
4 papers · 1 filter
Dispersive effects for the Schrödinger equation on finite metric graphs with infinite ends
Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise
We study the free Schrödinger equation on finite metric graphs with infinite ends. We give sufficient conditions to obtain the to time decay rate at least $t^{-1/2…
Uniform stabilization for the semi-linear wave equation with nonlinear Kelvin-Voigt damping
Kaïs Ammari, Marcelo M. Cavalcanti, Sabeur Mansouri
This paper is concerned with the decay estimate of solutions to the semilinear wave equation subject to two localized dampings in a bounded domain. The first one is of the nonlinea…
Uniform stabilization of an acoustic system
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We study the problem of stabilization for the acoustic system with a spatially distributed damping. With imposing hypothesis on the structural properties of the damping term, we id…
On the limit spectrum of a degenerate operator in the framework of periodic homogenization or singular perturbation problems
Kaïs Ammari, Ali Sili
In this paper we perform the analysis of the spectrum of a degenerate operator $A_\var$ corresponding to the stationary heat equation in a $\var$-periodic composite medium having t…