{
  "id": "1805.02506",
  "version": "v1",
  "published": "2018-05-04T02:29:38.000Z",
  "updated": "2018-05-04T02:29:38.000Z",
  "title": "Gradient estimates for Stokes systems in domains",
  "authors": [
    "Jongkeun Choi",
    "Hongjie Dong"
  ],
  "comment": "23 pages. arXiv admin note: text overlap with arXiv:1803.05560",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having $C^{1,\\rm{Dini}}$ boundary. We prove that if $(u, p)$ is a weak solution of the system with zero Dirichlet boundary condition, then $(Du,p)$ is continuous up to the boundary. We also prove a weak type-$(1,1)$ estimate for $(Du, p)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-04T02:29:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D07",
      "35B65",
      "35J57"
    ],
    "keywords": [
      "gradient estimates",
      "dini mean oscillation coefficients",
      "zero dirichlet boundary condition",
      "stationary stokes system",
      "weak solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}