{
  "id": "1209.0982",
  "version": "v1",
  "published": "2012-09-05T14:00:01.000Z",
  "updated": "2012-09-05T14:00:01.000Z",
  "title": "An Inverse Boundary Value Problem for the Magnetic Schrödinger Operator on a Half Space",
  "authors": [
    "Valter Pohjola"
  ],
  "comment": "This is a licentiate thesis and will eventually be a part of a PhD thesis",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This licentiate thesis is concerned with an inverse boundary value problem for the magnetic Schr\\\"odinger equation in a half space, for compactly supported potentials $A\\in W^{1,\\infty}(\\bar{\\mathbb{R}^3_{-}},\\R^3)$ and $q \\in L^{\\infty}(\\bar{\\mathbb{R}^3_{-}},\\C)$. We prove that $q$ and the curl of $A$ are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space. The existence and uniqueness of the corresponding direct problem are also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-05T14:00:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30"
    ],
    "keywords": [
      "inverse boundary value problem",
      "half space",
      "magnetic schrödinger operator",
      "licentiate thesis",
      "corresponding direct problem"
    ],
    "tags": [
      "dissertation"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 2012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhDT........18P"
    }
  }
}