{
  "id": "2208.01194",
  "version": "v1",
  "published": "2022-08-02T01:37:58.000Z",
  "updated": "2022-08-02T01:37:58.000Z",
  "title": "Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries",
  "authors": [
    "Yuanyuan Lian",
    "Kai Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove boundary pointwise $C^{k,\\alpha}$ regularity for any $k\\geq 1$ for fully nonlinear parabolic equations. As an application, we give a direct and short proof of the higher regularity of the free boundaries in obstacle-type problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-02T01:37:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35K10",
      "35K55",
      "35R35"
    ],
    "keywords": [
      "fully nonlinear parabolic equations",
      "boundary pointwise regularity",
      "free boundaries",
      "application",
      "short proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}