{
  "id": "1303.3395",
  "version": "v3",
  "published": "2013-03-14T10:32:18.000Z",
  "updated": "2013-04-08T09:33:04.000Z",
  "title": "Initial trace of solutions of semilinear heat equation with absorption",
  "authors": [
    "Waad Al Sayed",
    "Laurent Veron"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the initial trace problem for positive solutions of semilinear heat equations with strong absorption. We show that in general this initial trace is an outer regular Borel measure. We emphasize in particular the case where $u$ satisfies (E) $\\partial_t u-\\Delta u+t^\\alpha |u|^{q-1}u=0$, with $q>1$ and $\\alpha>-1$ and prove that in the subcritical case $1",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-08T09:33:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semilinear heat equation",
      "outer regular borel measure",
      "initial trace problem",
      "strong absorption",
      "positive solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3395S"
    }
  }
}