{
  "id": "1210.3842",
  "version": "v2",
  "published": "2012-10-14T21:05:52.000Z",
  "updated": "2013-04-17T04:38:12.000Z",
  "title": "Global regularity for the energy-critical NLS on $\\mathbb{S}^3$",
  "authors": [
    "Benoit Pausader",
    "Nikolay Tzvetkov",
    "Xuecheng Wang"
  ],
  "comment": "to appear in the Annales IHP, Analyse non lineaire. arXiv admin note: text overlap with arXiv:1102.5771, arXiv:1101.4527",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish global existence for the energy-critical nonlinear Schr\\\"odinger equation on $\\mathbb{S}^3$. This follows similar lines to the work on $\\mathbb{T}^3$ but requires new extinction results for linear solutions and bounds on the first nonlinear iterate at a Euclidean profile that are adapted to the new geometry.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-17T04:38:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global regularity",
      "energy-critical nls",
      "first nonlinear iterate",
      "similar lines",
      "establish global existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.3842P"
    }
  }
}