{
  "id": "1312.5044",
  "version": "v1",
  "published": "2013-12-18T05:32:25.000Z",
  "updated": "2013-12-18T05:32:25.000Z",
  "title": "Partial regularity for parabolic systems with VMO-coefficients",
  "authors": [
    "Taku Kanazawa"
  ],
  "comment": "16pages. arXiv admin note: text overlap with arXiv:1302.4148",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish partial regularity for vector-valued solutions to parabolic systems where the coefficients are possibly discontinuous with respect to (x,t). More precisely, we assume a VMO-condition with respect to the (x,t) and continuity with respect to u and prove H\\\"older continuity of the solutions outside of singular sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-18T05:32:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K40",
      "35K55",
      "35K65"
    ],
    "keywords": [
      "parabolic systems",
      "vmo-coefficients",
      "establish partial regularity",
      "solutions outside",
      "continuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5044K"
    }
  }
}