{
  "id": "2202.11565",
  "version": "v1",
  "published": "2022-02-23T15:24:47.000Z",
  "updated": "2022-02-23T15:24:47.000Z",
  "title": "On the Hölder regularity for obstacle problems to porous medium type equations",
  "authors": [
    "Kristian Moring",
    "Leah Schätzler"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that signed weak solutions to parabolic obstacle problems with porous medium type structure are locally H\\\"older continuous, provided that the obstacle is H\\\"older continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-23T15:24:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35D30",
      "35K65",
      "35K67",
      "47J20"
    ],
    "keywords": [
      "porous medium type equations",
      "hölder regularity",
      "parabolic obstacle problems",
      "porous medium type structure",
      "signed weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}