38 citations · 178 across the 63 of their papers we have counts for
4 papers · 2 filters
Exponential stability for the nonlinear Schrödinger equation on a star-shaped network
Kaïs Ammari, Ahmed Bchatnia, Naima Mehenaoui
In this paper, we prove the exponential stability of the solution of the nonlinear dissipative Schrödinger equation on a star-shaped network and where the damping is localized on o…
Controllability of periodic bilinear quantum systems on infinite graphs
Kaïs Ammari, Alessandro Duca
In this work, we study the controllability of the bilinear Schrödinger equation on infinite graphs for periodic quantum states. We consider the bilinear Schrödinger equation $i\par…
Stabilization for vibrating plate with singular structural damping
Kaïs Ammari, Fathi Hassine, Luc Robbiano
We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli plate equation, with a locally distributed singular structural (or viscoelastic ) damping in a boundary…
Stabilization of fractional-evolution systems
Kaïs Ammari, Fathi Hassine, Luc Robbiano
This paper is devoted to the analysis of the problem of stabilization of fractional (in time) partial differential equations. We consider the following equation $$ \partial^{α,η}_{…