{
  "id": "math/0105013",
  "version": "v1",
  "published": "2001-05-02T17:14:14.000Z",
  "updated": "2001-05-02T17:14:14.000Z",
  "title": "The calibration method for the Mumford-Shah functional and free-discontinuity problems",
  "authors": [
    "Giovanni Alberti",
    "Guy Bouchitte'",
    "Gianni Dal Maso"
  ],
  "comment": "45 pages, 7 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we present a minimality criterion for the Mumford-Shah functional, and more generally for non convex variational integrals on SBV which couple a surface and a bulk term. This method provides short and easy proofs for several minimality results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-02T17:14:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K10",
      "49Q15",
      "49Q05",
      "58E12"
    ],
    "keywords": [
      "mumford-shah functional",
      "free-discontinuity problems",
      "calibration method",
      "non convex variational integrals",
      "bulk term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5013A"
    }
  }
}