{
  "id": "1511.08780",
  "version": "v1",
  "published": "2015-11-27T20:03:26.000Z",
  "updated": "2015-11-27T20:03:26.000Z",
  "title": "On reconstruction of complex-valued once differentiable conductivities",
  "authors": [
    "Evgeny Lakshtanov",
    "Boris Vainberg"
  ],
  "comment": "In memory of our dear friend Yuri Safarov",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "The classical $\\overline \\partial$-method has been generalized recently \\cite{lnv}, \\cite{lnv2} to be used in the presence of exceptional points. We apply this generalization to solve Dirac inverse scattering problem with weak assumptions on smoothness of potentials. As a consequence, this provides an effective method of reconstruction of complex-valued one time differentiable conductivities in the inverse impedance tomography problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-27T20:03:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reconstruction",
      "inverse impedance tomography problem",
      "dirac inverse scattering problem",
      "time differentiable conductivities",
      "weak assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151108780L"
    }
  }
}