{
  "id": "1901.03591",
  "version": "v1",
  "published": "2019-01-11T14:26:39.000Z",
  "updated": "2019-01-11T14:26:39.000Z",
  "title": "On a comparison principle for Trudinger's equation",
  "authors": [
    "Erik Lindgren",
    "Peter Lindqvist"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the comparison principle for non-negative solutions of the equation $$ \\frac{\\partial\\,(|v|^{p-2}v)}{\\partial t}\\,=\\, \\textrm{div} (|\\nabla v|^{p-2}\\nabla v). $$ This equation is related to extremals of Poincar\\'e inequalities in Sobolev spaces. We apply our result to obtain pointwise control of the large time behavior of solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-11T14:26:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K65",
      "35K55",
      "35B40",
      "35A02",
      "35D30",
      "35D40"
    ],
    "keywords": [
      "comparison principle",
      "trudingers equation",
      "large time behavior",
      "sobolev spaces",
      "poincare inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}