1 citations · 2 across the 6 of their papers we have counts for
7 papers
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation
Lassaad Aloui, Sirine Jbari, Slim Tayachi
We are interested in the behavior of solutions to the damped inhomogeneous nonlinear Schrödinger equation , , , $a \in…
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation
Lassaad Aloui, Slim Tayachi
In this paper we consider the inhomogeneous nonlinear Schrödinger equation $|K(x)|+|x|^s|\na…
Stabilization of two strongly coupled hyperbolic equations in exterior domains
L. Aloui, H. Azaza
In this paper we study the behavior of the total energy and the -norm of solutions of two coupled hyperbolic equations by velocities in exterior domains. Only one of the two e…
Energy decay for linear dissipative wave equations in exterior domains
Lassaad Aloui, Slim Ibrahim, Moez Khenissi
In earlier works, we have shown the uniform decay of the local energy of the damped wave equation in exterior domain when the damper is spatially localized near captive rays. In or…
The Kato Smoothing Effect for Regularized Schrödinger Equations in Exterior Domains
Lassaad Aloui, Moez Khenissi, Luc Robbiano
We prove, under the exterior geometric control condition, the Kato smoothing effect for solutions of an inhomogenous and damped Schrödinger equation on exterior domains.
Smoothing effect for the regularized Schrödinger equation with non controlled orbits
Lassaad Aloui, Moez Khenissi, Georgi Vodev
We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schrödinger equation.
Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth
Lassaad Aloui, Slim Ibrahim, Kenji Nakanishi
We derive a uniform exponential decay of the total energy for the nonlinear Klein-Gordon equation with a damping around spatial infinity in the whole space or in the exterior of a…