Oussama Landoulsi

collaborators

3 papers

math.AP2020

On Blow-up solutions to the nonlinear Schrödinger equation in the exterior of a convex obstacle

Oussama Landoulsi

In this paper, we consider the Schrödinger equation with a mass-supercritical focusing nonlinearity, in the exterior of a smooth, compact, convex obstacle of $R^{d}$ with Dirichle…

math.AP2020

Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

Thomas Duyckaerts, Oussama Landoulsi, Svetlana Roudenko

We study the dynamics of the focusing $3 d$ cubic nonlinear Schrödinger equation in the exterior of a strictly convex obstacle at the mass-energy threshold, namely, when $ E_Ω[u_0]…

math.AP2019

Construction of solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle for the $L^{2}$ -supercritical case

Oussama Landoulsi

We consider the focusing $L^{2}$ -supercritical Schrödinger equation in the exterior of a smooth, compact, strictly convex obstacle. We construct a solution behaving asymptotically as…

On Blow-up solutions to the nonlinear Schrödinger equation in the exterior of a convex obstacle

Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

Construction of solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle for the L2-supercritical case

Construction of solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle for the $L^{2}$ -supercritical case