{
  "id": "1102.5175",
  "version": "v1",
  "published": "2011-02-25T07:16:30.000Z",
  "updated": "2011-02-25T07:16:30.000Z",
  "title": "Global stability for the multi-channel Gel'fand-Calderón inverse problem in two dimensions",
  "authors": [
    "Matteo Santacesaria"
  ],
  "journal": "Bulletin des Sciences Math\\'ematiques 136, 7 (2012) 731-744",
  "doi": "10.1016/j.bulsci.2012.02.004",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a global logarithmic stability estimate for the multi-channel Gel'fand-Calder\\'on inverse problem on a two-dimensional bounded domain, i.e. the inverse boundary value problem for the equation $-\\Delta \\psi + v\\, \\psi = 0$ on $D$, where $v$ is a smooth matrix-valued potential defined on a bounded planar domain $D$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-25T07:16:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multi-channel gelfand-calderón inverse problem",
      "global stability",
      "multi-channel gelfand-calderon inverse problem",
      "dimensions",
      "global logarithmic stability estimate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.5175S"
    }
  }
}