{
  "id": "1906.10990",
  "version": "v1",
  "published": "2019-06-26T11:45:09.000Z",
  "updated": "2019-06-26T11:45:09.000Z",
  "title": "Short time existence of the classical solution to the fractional Mean curvature flow",
  "authors": [
    "Vesa Julin",
    "Domenico La Manna"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and C^{1,1}-regular. We provide the same result also for the volume preserving fractional mean curvature flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-26T11:45:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "35R11"
    ],
    "keywords": [
      "short time existence",
      "classical solution",
      "volume preserving fractional mean curvature",
      "preserving fractional mean curvature flow",
      "smooth solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}