53 citations · 262 across the 15 of their papers we have counts for
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math.AP2013★ 49 cited
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…
math.AP2013★ 2 cited
Large time behavior in nonlinear Schrodinger equation with time dependent potential
Rémi Carles, Jorge Drumond Silva
We consider the large time behavior of solutions to defocusing nonlinear Schrodinger equation in the presence of a time dependent external potential. The main assumption on the pot…