{
  "id": "1010.1443",
  "version": "v1",
  "published": "2010-10-07T14:38:49.000Z",
  "updated": "2010-10-07T14:38:49.000Z",
  "title": "The Fujita phenomenon in exterior domains under the Robin boundary conditions",
  "authors": [
    "Jean-François Rault"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Fujita phenomenon for nonlinear parabolic problems dtu = \\deltau + up in an exterior domain of RN under the Robin boundary conditions is investigated in the superlinear case. As in the case of Dirichlet boundary conditions, it turns out that there exists a critical exponent p = 1+2/N such that blow-up of positive solutions always occurs for subcritical exponents, whereas in the supercritical case global existence can occur for small non-negative initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-07T14:38:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "robin boundary conditions",
      "fujita phenomenon",
      "exterior domain",
      "nonlinear parabolic problems dtu",
      "dirichlet boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.1443R"
    }
  }
}