{
  "id": "1907.06030",
  "version": "v1",
  "published": "2019-07-13T09:06:11.000Z",
  "updated": "2019-07-13T09:06:11.000Z",
  "title": "On the convergence rate of some nonlocal energies",
  "authors": [
    "Antonin Chambolle",
    "Matteo Novaga",
    "Valerio Pagliari"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP",
    "cs.NA",
    "math.FA",
    "math.NA"
  ],
  "abstract": "We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis and Mironescu. In particular we establish the $\\Gamma$-convergence of the corresponding rate functionals, suitably rescaled, to a limit functional of second order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-13T09:06:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convergence rate",
      "nonlocal energies",
      "nonlocal functionals",
      "corresponding rate functionals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}