11 citations · 14 across the 4 of their papers we have counts for
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Global well-posedness and instability of an inhomogeneous nonlinear Schrodinger equation with harmonic potential
T. Saanouni
This paper is concerned with the Cauchy problem for an inhomogeneous nonlinear Schrodinger equation with exponential growth nonlinearity and harmonic potential in two space dimensi…
On defocusing fourth-order coupled nonlinear Schrodinger equations
Radhia Ghanmi, Tarek Saanouni
We investigate the initial value problem for some defocusing coupled nonlinear fourth-order Schrodinger equations. Global well-posedness and scattering in the energy space are obta…
On focusing coupled fourth-order nonlinear Schrodinger equations
Radia Ghanmi, Tarek Saanouni
We investigate some focusing fourth-order coupled Schrodinger equations. Existence of ground state and global well-posedness are obtained. Moreover, the best constant of some Gagli…
A note on coupled focusing nonlinear Schrodinger equations
Tarek Saanouni
Some focusing coupled Schrodinger equations are investigated. First, existence of ground state is obtained. Second, global and non global existence of solutions are discussed via p…
On defocusing coupled nonlinear Schrodinger equations
Tarek Saanouni
The initial value problem for some defocusing coupled nonlinear Schrodinger equations is investigated. Global well-posedness and scattering are established.