{
  "id": "1106.1790",
  "version": "v1",
  "published": "2011-06-09T12:44:30.000Z",
  "updated": "2011-06-09T12:44:30.000Z",
  "title": "Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation",
  "authors": [
    "Marek Fila",
    "Juan Luis Vazquez",
    "Michael Winkler",
    "Eiji Yanagida"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the asymptotic behaviour of positive solutions of the Cauchy problem for the fast diffusion equation near the extinction time. We find a continuum of rates of convergence to a self-similar profile. These rates depend explicitly on the spatial decay rates of initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-09T12:44:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K65",
      "35B40"
    ],
    "keywords": [
      "fast diffusion equation",
      "barenblatt profiles",
      "convergence",
      "spatial decay rates",
      "extinction time"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00205-011-0486-z",
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2012,
      "month": "May",
      "volume": 204,
      "number": 2,
      "pages": 599
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012ArRMA.204..599F"
    }
  }
}