{
  "id": "0906.0669",
  "version": "v2",
  "published": "2009-06-03T09:34:48.000Z",
  "updated": "2011-02-04T10:52:23.000Z",
  "title": "A note on maximal solutions of nonlinear parabolic equations with absorption",
  "authors": [
    "Laurent Veron"
  ],
  "comment": "\\`A para\\^itre \\`a Asymptotic Analysis",
  "categories": [
    "math.AP"
  ],
  "abstract": "If $\\Omega$ is a bounded domain in $\\mathbb R^N$ and $f$ a continuous increasing function satisfying a super linear growth condition at infinity, we study the existence and uniqueness of solutions for the problem (P): $\\partial_tu-\\Delta u+f(u)=0$ in $Q_\\infty^\\Omega:=\\Omega\\times (0,\\infty)$, $u=\\infty$ on the parabolic boundary $\\partial_{p}Q$. We prove that in most cases, the existence and uniqueness is reduced to the same property for the associated stationary equation in $\\Omega$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-04T10:52:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear parabolic equations",
      "maximal solutions",
      "absorption",
      "super linear growth condition",
      "uniqueness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0669V"
    }
  }
}