38 citations · 178 across the 63 of their papers we have counts for
7 papers · 1 filter
The Green function for waves on the -regular Bethe lattice
Kaïs Ammari, Gilles Lebeau
In this paper, we compute an explicit analytic expression for the Green function of the wave operator on the -regular lattice called the "Bethe lattice" equipped with its standa…
Comments on observability and stabilization of magnetic Schr{ö}dinger equations
Kaïs Ammari, Mourad Choulli, Luc Robbiano
We are mainly interested in extending the known results on ob-servability inequalities and stabilization for the Schr{ö}dinger equation to the magnetic Schr{ö}dinger equation. That…
Numerical approximation of the best decay rate for some dissipative systems
Kaïs Ammari, Carlos Castro
In this paper we propose a numerical method to approximate the best decay rate for some dissipative systems that are bounded perturbation of unbounded skew-adjoint operators. We al…
Feedback stabilization and boundary controllability of the Korteweg-de Vries equation on a star-shaped network
Kaïs Ammari, Emmanuelle Crépeau
We propose a model using the Korteweg-de Vries equation on a finite star-shaped network. We first prove the well-posedness of the system and give some regularity results. T…
Stabilization of the wave equation with moving boundary
Kaïs Ammari, Ahmed Bchatnia, Karim El Mufti
We deal with the wave equation with assigned moving boundary () upon which Dirichlet-Neuman boundary conditions are satisfied, here is assumed to move slower than…
Asymptotic behavior of a delayed wave equation without displacement term
Kaïs Ammari, Boumediène Chentouf
This paper is dedicated to the investigation of the asymptotic behavior of a delayed wave equation without the presence of any position term. First, it is shown that the problem is…