{
  "id": "1303.5518",
  "version": "v1",
  "published": "2013-03-22T05:22:42.000Z",
  "updated": "2013-03-22T05:22:42.000Z",
  "title": "Blow-up behavior of solutions to the heat equation with nonlinear boundary conditions",
  "authors": [
    "Junichi Harada"
  ],
  "comment": "48 page",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the asymptotic behavior of blow-up solutions of the heat equation with nonlinear boundary conditions. In particular, we classify the asymptotic behavior of blow-up solutions and investigate the spacial singularity of their blow-up profiles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-22T05:22:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear boundary conditions",
      "heat equation",
      "blow-up behavior",
      "blow-up solutions",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.5518H"
    }
  }
}