{
  "id": "1007.4889",
  "version": "v2",
  "published": "2010-07-28T08:09:40.000Z",
  "updated": "2014-05-21T15:01:29.000Z",
  "title": "Regularization for the supercritical quasi-geostrophic equation",
  "authors": [
    "Begoña Barrios"
  ],
  "comment": "18 pages This paper has been withdrawn by the author due to a crucial error in the proof of the main result",
  "categories": [
    "math.AP"
  ],
  "abstract": "Motivated by the De Giorgi type argument used in a recent paper by Caffarelli and Vasseur, we prove H\\\"older-regularity for weak solutions of the supercritical quasi-geostrophic equation with minimal assumptions on the initial datum.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-21T15:01:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35D10",
      "35J55"
    ],
    "keywords": [
      "supercritical quasi-geostrophic equation",
      "regularization",
      "giorgi type argument",
      "initial datum",
      "weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4889B"
    }
  }
}