{
  "id": "1508.07102",
  "version": "v1",
  "published": "2015-08-28T05:55:34.000Z",
  "updated": "2015-08-28T05:55:34.000Z",
  "title": "The Calderón problem with partial data for conductivities with $3/2$ derivatives",
  "authors": [
    "Katya Krupchyk",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We extend a global uniqueness result for the Calder\\'on problem with partial data, due to Kenig-Sj\\\"ostrand-Uhlmann, to the case of less regular conductivities. Specifically, we show that in dimensions $n\\ge 3$, the knowledge of the Diricihlet-to-Neumann map, measured on possibly very small subsets of the boundary, determines uniquely a conductivity having essentially $3/2$ derivatives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-28T05:55:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35J25"
    ],
    "keywords": [
      "partial data",
      "calderón problem",
      "conductivity",
      "derivatives",
      "global uniqueness result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807102K"
    }
  }
}