{
  "id": "0712.1834",
  "version": "v1",
  "published": "2007-12-11T21:58:35.000Z",
  "updated": "2007-12-11T21:58:35.000Z",
  "title": "Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions",
  "authors": [
    "Carlos E. Kenig",
    "Frank Merle"
  ],
  "comment": "To appear, Tran.Amer.Math.Soc",
  "categories": [
    "math.AP",
    "math.AG"
  ],
  "abstract": "We show that if a solution of the defocusing cubic NLS in 3d remains bounded in the homogeneous Sobolev norm of order 1/2 in its maximal interval of existence, then the interval is infinite and the solution scatters. No radial assumption is made.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-11T21:58:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "defocusing nls",
      "bounded solutions",
      "dimensions",
      "scattering",
      "defocusing cubic nls"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1834K"
    }
  }
}