{
  "id": "1604.04442",
  "version": "v1",
  "published": "2016-04-15T11:44:03.000Z",
  "updated": "2016-04-15T11:44:03.000Z",
  "title": "Interior regularity for fractional systems",
  "authors": [
    "Luis Caffarelli",
    "Gonzalo Davila"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the regularity of solutions of elliptic fractional systems of order 2s, $s \\in (0, 1)$, where the right hand side f depends on a nonlocal gradient and has the same scaling properties as the nonlocal operator. Under some structural conditions on the system we prove interior H\\\"older estimates in the spirit of [1]. Our results are stable in s allowing us to recover the classic results for elliptic systems due to S. Hildebrandt and K. Widman [6] and M. Wiegner [9].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-15T11:44:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interior regularity",
      "elliptic fractional systems",
      "right hand side",
      "order 2s",
      "elliptic systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160404442C"
    }
  }
}