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arXiv · 1609.01993

Scattering for NLS with a potential on the line

David Lafontaine
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Abstract

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.

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David Lafontaine. 2016-09-07. Scattering for NLS with a potential on the line. https://doi.org/10.3233/asy-161384

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