{
  "id": "1704.07562",
  "version": "v1",
  "published": "2017-04-25T07:05:07.000Z",
  "updated": "2017-04-25T07:05:07.000Z",
  "title": "Local regularity for fractional heat equations",
  "authors": [
    "Umberto Biccari",
    "Mahamadi Warma",
    "Enrique Zuazua"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with Dirichlet boundary condition on an arbitrary bounded open set $\\Omega\\subset\\mathbb{R}^N$. The key tool consists in combining classical abstract regularity results for parabolic equations with some new local regularity results for the associated elliptic equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-25T07:05:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional heat equations",
      "arbitrary bounded open set",
      "dirichlet boundary condition",
      "maximal local regularity",
      "combining classical abstract regularity results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}