{
  "id": "1401.4277",
  "version": "v2",
  "published": "2014-01-17T09:16:28.000Z",
  "updated": "2014-12-02T14:55:47.000Z",
  "title": "Perron's method for the porous medium equation",
  "authors": [
    "Juha Kinnunen",
    "Peter Lindqvist",
    "Teemu Lukkari"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This work extends Perron's method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-17T09:16:28.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-02T14:55:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K65",
      "35K20",
      "31C45"
    ],
    "keywords": [
      "porous medium equation",
      "work extends perrons method",
      "slow diffusion case",
      "main result",
      "nonnegative continuous boundary functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4277K"
    }
  }
}