{
  "id": "1206.4727",
  "version": "v2",
  "published": "2012-06-20T21:47:15.000Z",
  "updated": "2012-07-09T18:00:06.000Z",
  "title": "Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential",
  "authors": [
    "Katsiaryna Krupchyk",
    "Gunther Uhlmann"
  ],
  "comment": "This version contains a slight generalization of the main result of the previous version, with a complete proof. It supersedes the preprint http://arxiv.org/abs/1205.1151",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in $\\R^n$, $n\\ge 3$, for the magnetic Schr\\\"odinger operator with $L^\\infty$ magnetic and electric potentials determines the magnetic field and electric potential inside the set uniquely. The proof is based on a Carleman estimate for the magnetic Schr\\\"odinger operator with a gain of two derivatives.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-09T18:00:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35R30",
      "35J25"
    ],
    "keywords": [
      "inverse boundary problem",
      "magnetic schrödinger operator",
      "bounded magnetic potential",
      "uniqueness",
      "electric potential inside"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.4727K"
    }
  }
}