{
  "id": "2103.16386",
  "version": "v1",
  "published": "2021-03-30T14:26:21.000Z",
  "updated": "2021-03-30T14:26:21.000Z",
  "title": "Level set mean curvature flow with Neumann boundary conditions",
  "authors": [
    "Satoru Aimi"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the relation between the level set approach and the varifold approach for the mean curvature flow with Neumann boundary conditions. With an appropriate initial data, we prove that the almost all level sets of the unique viscosity level set solution satisfy Brakke's inequality and a generalized Neumann boundary condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-30T14:26:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53E10",
      "49Q20"
    ],
    "keywords": [
      "level set mean curvature flow",
      "neumann boundary condition",
      "level set solution satisfy",
      "solution satisfy brakkes inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}