{
  "id": "1907.00910",
  "version": "v1",
  "published": "2019-07-01T16:28:29.000Z",
  "updated": "2019-07-01T16:28:29.000Z",
  "title": "Continuity of solutions to a nonlinear fractional diffusion equation",
  "authors": [
    "Lorenzo Brasco",
    "Erik Lindgren",
    "Martin Strömqvist"
  ],
  "comment": "45 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a parabolic equation for the fractional $p-$Laplacian of order $s$, for $p\\ge 2$ and $0<s<1$. We provide space-time H\\\"older estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of J. Moser.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-01T16:28:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K65",
      "35R11"
    ],
    "keywords": [
      "nonlinear fractional diffusion equation",
      "continuity",
      "parabolic equation",
      "weak solutions",
      "explicit exponents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}