142 citations · 473 across the 37 of their papers we have counts for
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Scattering for nonlinear Schrodinger equation under partial harmonic confinement
Paolo Antonelli, Rémi Carles, Jorge Drumond Silva
We consider the nonlinear Schrodinger equation under a partial quadratic confinement. We show that the global dispersion corresponding to the direction(s) with no potential is enou…
Asymptotic behavior of nonlinear Schroedinger Systems with Linear Coupling
Paolo Antonelli, Rada Maria Weishaeupl
A system of two coupled nonlinear Schroedinger equations is treated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is conside…
On nonlinear Schrodinger type equations with nonlinear damping
Paolo Antonelli, Rémi Carles, Christof Sparber
We consider equations of nonlinear Schrodinger type augmented by nonlinear damping terms. We show that nonlinear damping prevents finite time blow-up in several situations, which w…