{
  "id": "1609.01993",
  "version": "v1",
  "published": "2016-09-07T14:21:16.000Z",
  "updated": "2016-09-07T14:21:16.000Z",
  "title": "Scattering for NLS with a potential on the line",
  "authors": [
    "David Lafontaine"
  ],
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-07T14:21:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scattering",
      "dimensional nonlinear",
      "concentration-compacity/rigidity first",
      "mass-supercritical non-linearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}