{
  "id": "1807.02293",
  "version": "v1",
  "published": "2018-07-06T07:39:35.000Z",
  "updated": "2018-07-06T07:39:35.000Z",
  "title": "Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets",
  "authors": [
    "Sebastian Bechtel",
    "Moritz Egert"
  ],
  "comment": "39 pages",
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "A full interpolation theory for Sobolev functions with smoothness between 0 and 1 and vanishing trace on a part of the boundary of an open set is established. Geometric assumptions are of mostly measure theoretic nature and reach far beyond Lipschitz regular domains. Previous results were limited to very regular geometric configurations or Hilbert Sobolev spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-06T07:39:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irregular open sets",
      "sobolev functions",
      "partially vanishing trace",
      "full interpolation theory",
      "measure theoretic nature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}