{
  "id": "2203.03321",
  "version": "v1",
  "published": "2022-03-07T12:01:11.000Z",
  "updated": "2022-03-07T12:01:11.000Z",
  "title": "Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms",
  "authors": [
    "Jongkeun Choi",
    "Hongjie Dong",
    "Zongyuan Li"
  ],
  "comment": "18 pages, 2 figures. This is the second part of the original submission arXiv:2101.01654v1, which was divided into two parts as suggested by the referee",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish $L_{q,p}$-estimates and solvability for mixed Dirichlet-conormal problems for parabolic equations in a cylindrical Reifenberg-flat domain with a rough time-dependent separation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-07T12:01:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K20",
      "35B65",
      "35R05"
    ],
    "keywords": [
      "mixed boundary value problems",
      "parabolic equations",
      "sobolev spaces",
      "mixed-norms",
      "rough time-dependent separation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}