Scattering for nonlinear Schrodinger equation under partial harmonic confinement

Abstract

We consider the nonlinear Schrödinger equation under a partial quadratic confinement. We show that the global dispersion corresponding to the direction(s) with no potential is enough to prove global in time Strichartz estimates, from which we infer the existence of wave operators thanks to suitable vector-fields. Conversely, given an initial Cauchy datum… (More)

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@inproceedings{Antonelli2013ScatteringFN, title={Scattering for nonlinear Schrodinger equation under partial harmonic confinement}, author={Paolo Antonelli and R{\'e}mi Carles and Jorge Drumond Silva and Jorge Drumond and HARMONIC CONFINEMENT and D. K. N. Silva}, year={2013} }