{
  "id": "2207.06469",
  "version": "v1",
  "published": "2022-07-13T18:42:38.000Z",
  "updated": "2022-07-13T18:42:38.000Z",
  "title": "On the variational nature of the Anzellotti pairing",
  "authors": [
    "Graziano Crasta",
    "Virginia De Cicco"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence to the space BV of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-13T18:42:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28B05",
      "46G10",
      "26B30"
    ],
    "keywords": [
      "anzellotti pairing",
      "variational nature",
      "preliminary integral representation",
      "crucial tool",
      "space bv"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}