{
  "id": "1003.1880",
  "version": "v2",
  "published": "2010-03-09T14:27:34.000Z",
  "updated": "2014-02-06T09:10:34.000Z",
  "title": "On an inverse problem for anisotropic conductivity in the plane",
  "authors": [
    "Gennadi Henkin",
    "Matteo Santacesaria"
  ],
  "comment": "9 pages, no figure",
  "journal": "Inverse Problems 26, 2010, 095011",
  "doi": "10.1088/0266-5611/26/9/095011",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let $\\hat \\Omega \\subset \\mathbb R^2$ be a bounded domain with smooth boundary and $\\hat \\sigma$ a smooth anisotropic conductivity on $\\hat \\Omega$. Starting from the Dirichlet-to-Neumann operator $\\Lambda_{\\hat \\sigma}$ on $\\partial \\hat \\Omega$, we give an explicit procedure to find a unique domain $\\Omega$, an isotropic conductivity $\\sigma$ on $\\Omega$ and the boundary values of a quasiconformal diffeomorphism $F:\\hat \\Omega \\to \\Omega$ which transforms $\\hat \\sigma$ into $\\sigma$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-06T09:10:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "32G05"
    ],
    "keywords": [
      "inverse problem",
      "smooth anisotropic conductivity",
      "smooth boundary",
      "dirichlet-to-neumann operator",
      "boundary values"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010InvPr..26i5011H"
    }
  }
}