{
  "id": "0809.2523",
  "version": "v2",
  "published": "2008-09-15T13:28:46.000Z",
  "updated": "2010-09-07T17:17:18.000Z",
  "title": "Growth conditions and uniqueness of the Cauchy problem for the evolutionary infinity Laplacian",
  "authors": [
    "Tommaso Leonori",
    "José Miguel Urbano"
  ],
  "comment": "This paper has been withdrawn by the author due to a gap in the proof of Lemma 2.3. In fact, the condition $\\Phi (x,y,0,0) \\leq 0$ does not directly follow from (6) and (7)",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Cauchy problem for the parabolic infinity Laplace equation. We prove a new comparison principle and obtain uniqueness of viscosity solutions in the class of functions with a polinomial growth at infinity, improving previous results obtained assuming a linear growth.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-07T17:17:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B05",
      "35K15",
      "35K55",
      "35K65"
    ],
    "keywords": [
      "evolutionary infinity laplacian",
      "cauchy problem",
      "growth conditions",
      "uniqueness",
      "parabolic infinity laplace equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.2523L"
    }
  }
}