{
  "id": "1402.3141",
  "version": "v4",
  "published": "2014-02-13T14:09:33.000Z",
  "updated": "2015-05-07T15:04:18.000Z",
  "title": "The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions",
  "authors": [
    "Ali BenAmor",
    "Tarek Kenzizi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We establish conditions ensuring either existence or blow-up of nonnegative solutions for the heat equation generated by the Dirichlet fractional Laplacian perturbed by negative potentials on bounded sets. The elaborated theory is supplied by some examples.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-06-08T14:49:35.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-05-07T15:04:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "negative potentials",
      "nonnegative solutions",
      "dirichlet fractional laplacian",
      "heat equation",
      "establish conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.3141B"
    }
  }
}