English

Scattering for NLS with a potential on the line

Analysis of PDEs 2016-10-31 v1

Abstract

We show the H1H^{1} scattering for a one dimensional nonlinear Schr\"odinger equation with a non-negative, repulsive potential VV such that V,xVW1,1V,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.

Keywords

Cite

@article{arxiv.1609.01993,
  title  = {Scattering for NLS with a potential on the line},
  author = {David Lafontaine},
  journal= {arXiv preprint arXiv:1609.01993},
  year   = {2016}
}
R2 v1 2026-06-22T15:42:41.109Z