{
  "id": "1302.4148",
  "version": "v2",
  "published": "2013-02-18T02:17:04.000Z",
  "updated": "2013-07-08T04:37:40.000Z",
  "title": "Partial regularity for elliptic systems with VMO-coefficients",
  "authors": [
    "Taku Kanazawa"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish partial regularity for vector-valued solutions to inhomogeneous elliptic systems in divergence form where the coefficients are possibly discontinuous with respect to $x$. More precisely, we assume a VMO-condition with respect to the $x$ and continuity with respect to $u$ and prove H\\\"older continuity of the solutions outside of singular sets.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-08T04:37:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B65"
    ],
    "keywords": [
      "vmo-coefficients",
      "inhomogeneous elliptic systems",
      "establish partial regularity",
      "divergence form",
      "singular sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.4148K"
    }
  }
}