{
  "id": "1205.1151",
  "version": "v1",
  "published": "2012-05-05T17:39:49.000Z",
  "updated": "2012-05-05T17:39:49.000Z",
  "title": "Determining a magnetic Schrödinger operator with a continuous magnetic potential from boundary measurements",
  "authors": [
    "Katsiaryna Krupchyk",
    "Gunther Uhlmann"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1206.4727, which supercedes this",
  "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 $C^1$ bounded open set in $\\R^n$, $n\\ge 3$, for the Schr\\\"odinger operator with continuous magnetic and bounded 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": "v1",
      "updated": "2012-05-05T17:39:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35R30",
      "35J25"
    ],
    "keywords": [
      "magnetic schrödinger operator",
      "continuous magnetic potential",
      "boundary measurements",
      "electric potential inside",
      "bounded electric potentials determines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.1151K"
    }
  }
}