{
  "id": "1112.0710",
  "version": "v2",
  "published": "2011-12-04T02:08:31.000Z",
  "updated": "2012-05-11T21:20:26.000Z",
  "title": "Global well-posedness and scattering for the defocusing, energy -critical, nonlinear Schr{ö}dinger equation in the exterior of a convex obstacle when $d = 4$",
  "authors": [
    "Benjamin Dodson"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove that the energy - critical nonlinear Schr{\\\"o}dinger equation in the domain exterior to a convex obstacle is globally well - posed and scattering for initial data having finite energy. To prove this we utilize frequency localized Morawetz estimates adapted to an exterior domain.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-11T21:20:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "convex obstacle",
      "global well-posedness",
      "dinger equation",
      "nonlinear schr",
      "localized morawetz estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.0710D"
    }
  }
}