{
  "id": "1610.04987",
  "version": "v1",
  "published": "2016-10-17T07:15:32.000Z",
  "updated": "2016-10-17T07:15:32.000Z",
  "title": "Hölder regularity for the gradient of the inhomogeneous parabolic normalized $p$-Laplacian",
  "authors": [
    "Amal Attouchi",
    "Mikko Parviainen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study an evolution equation involving the normalized $p$-Laplacian and a bounded continuous source term. The normalized $p$-Laplacian is in non divergence form and arises for example from stochastic tug-of-war games with noise. We prove local $C^{\\alpha, \\frac{\\alpha}{2}}$ regularity for the spatial gradient of the viscosity solutions. The proof is based on an improvement of flatness and proceeds by iteration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-17T07:15:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K92",
      "35B65",
      "35D40"
    ],
    "keywords": [
      "hölder regularity",
      "inhomogeneous parabolic",
      "non divergence form",
      "stochastic tug-of-war games",
      "viscosity solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}