{
  "id": "1302.7265",
  "version": "v1",
  "published": "2013-02-28T17:23:12.000Z",
  "updated": "2013-02-28T17:23:12.000Z",
  "title": "An Inverse problem for the Magnetic Schrödinger Operator on a Half Space with partial data",
  "authors": [
    "Valter Pohjola"
  ],
  "comment": "This is the article version of a Licentiate thesis. arXiv admin note: text overlap with arXiv:1104.0789 by other authors",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schr\\\"odinger equation in a half space, with partial data. We prove that the curl of the magnetic potential $A$, when $A\\in W_{comp}^{1,\\infty}(\\ov{\\R^3_{-}},\\R^3)$, and the electric pontetial $q \\in L_{comp}^{\\infty}(\\ov{\\R^3_{-}},\\C)$ are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-28T17:23:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30"
    ],
    "keywords": [
      "magnetic schrödinger operator",
      "half space",
      "partial data",
      "inverse problem",
      "inverse boundary value problem"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.7265P"
    }
  }
}