arXiv:1609.01993 Abstract | arXiv Analytics

arXiv:1609.01993 [math.AP]Abstract References Reviews Resources

Scattering for NLS with a potential on the line

Published 2016-09-07Version 1

We show the $H^{1}$ scattering for a one dimensional nonlinear Schr\"odinger equation with a non-negative, repulsive potential $V$ such that $V,xV\in W^{1,1}$, and a mass-supercritical non-linearity. We follow the approach of concentration-compacity/rigidity first introduced by Kenig and Merle.

Categories: math.AP

Keywords: scattering, dimensional nonlinear, concentration-compacity/rigidity first, mass-supercritical non-linearity

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