{
  "id": "1006.0781",
  "version": "v2",
  "published": "2010-06-04T05:50:28.000Z",
  "updated": "2010-09-24T14:12:36.000Z",
  "title": "Local Hölder continuity for doubly nonlinear parabolic equations",
  "authors": [
    "Tuomo Kuusi",
    "Juhana Siljander",
    "José Miguel Urbano"
  ],
  "journal": "Indiana Univ. Math. J., 2011",
  "categories": [
    "math.AP"
  ],
  "abstract": "We give a proof of the H\\\"older continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling non-trivial Borel measure which supports a Poincar\\'e inequality. The proof discriminates between large scales, for which a Harnack inequality is used, and small scales, that require intrinsic scaling methods.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-24T14:12:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35K65",
      "35D10"
    ],
    "keywords": [
      "local hölder continuity",
      "degenerate doubly nonlinear parabolic equations",
      "doubling non-trivial borel measure",
      "poincare inequality",
      "measure spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.0781K"
    }
  }
}