{
  "id": "2305.13053",
  "version": "v1",
  "published": "2023-05-22T14:08:33.000Z",
  "updated": "2023-05-22T14:08:33.000Z",
  "title": "On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations",
  "authors": [
    "Mariia Savchenko",
    "Igor Skrypnik",
    "Yevgeniia Yevgenieva"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the case $q> p\\dfrac{n+2}{n}$, we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additional assumption that $u\\in L^{s}_{loc}(\\Omega_{T})$ with some $s >p\\dfrac{n+2}{n}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-22T14:08:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35B45",
      "35B65"
    ],
    "keywords": [
      "degenerate double-phase parabolic equations",
      "weak harnack inequality",
      "unbounded non-negative super-solutions",
      "additional assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}