{
  "id": "1604.04097",
  "version": "v1",
  "published": "2016-04-14T10:16:18.000Z",
  "updated": "2016-04-14T10:16:18.000Z",
  "title": "Characterization of Young measures generated by functions of bounded deformation",
  "authors": [
    "Guido De Philippis",
    "Filip Rindler"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This work establishes a characterization theorem for (generalized) Young measures generated by symmetric derivatives of functions of bounded deformation (BD) in the spirit of the classical Kinderlehrer-Pedregal theorem. Our result places such Young measures in duality with symmetric-quasiconvex functions with linear growth. The \"local\" proof strategy combines blow-up arguments with the singular structure theorem in BD (the analogue of Alberti's rank-one theorem in BV), which was recently proved by the authors. As an application of our characterization theorem we show how an atomic part in a BD-Young measure can be split off in generating sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-14T10:16:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J45",
      "28B05",
      "46G10"
    ],
    "keywords": [
      "young measures",
      "bounded deformation",
      "characterization theorem",
      "singular structure theorem",
      "albertis rank-one theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160404097D"
    }
  }
}