L. Aloui

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20152021

most citedGlobal existence and scattering for the inhomogeneous nonlinear Schrödinger equation

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2021★ 1 cited

Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation

Lassaad Aloui, Slim Tayachi

In this paper we consider the inhomogeneous nonlinear Schrödinger equation $i \partial_{t} u + Δ u = K (x) ∣ u ∣^{α} u, u (0) = u_{0} \in H^{s} (R^{N}), s = 0, 1,$ $N \geq 1,$ $|K(x)|+|x|^s|\na…

math.AP2019

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 $L^{2}$ -norm of solutions of two coupled hyperbolic equations by velocities in exterior domains. Only one of the two e…

math.AP2015

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…