{
  "id": "1801.04121",
  "version": "v1",
  "published": "2018-01-12T10:09:33.000Z",
  "updated": "2018-01-12T10:09:33.000Z",
  "title": "Supercaloric functions for the porous medium equation",
  "authors": [
    "Juha Kinnunen",
    "Pekka Lehtelä",
    "Peter Lindqvist",
    "Mikko Parviainen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not. This criterion and its consequences are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-12T10:09:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K65",
      "35K20"
    ],
    "keywords": [
      "porous medium equation",
      "supercaloric functions",
      "slow diffusion case unbounded supersolutions",
      "consequences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}