{
  "id": "1405.4661",
  "version": "v1",
  "published": "2014-05-19T10:21:21.000Z",
  "updated": "2014-05-19T10:21:21.000Z",
  "title": "Rate of Convergence to Separable Solutions of the Fast Diffusion Equation",
  "authors": [
    "Marek Fila",
    "Michael Winkler"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the asymptotic behaviour near extinction of positive solutions of the Cauchy problem for the fast diffusion equation with a subcritical exponent. We show that separable solutions are stable in some suitable sense by finding a class of functions which belong to their domain of attraction. For solutions in this class we establish optimal rates of convergence to separable solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-19T10:21:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fast diffusion equation",
      "separable solutions",
      "convergence",
      "establish optimal rates",
      "asymptotic behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.4661F"
    }
  }
}