{
  "id": "1205.7090",
  "version": "v1",
  "published": "2012-05-31T19:52:17.000Z",
  "updated": "2012-05-31T19:52:17.000Z",
  "title": "C*-algebras and inverse problem of electrodynamics",
  "authors": [
    "M. I. Belishev",
    "M. N. Demchenko"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We consider the dynamical inverse problem for the Maxwell system on a Riemannian 3-manifold with boundary in a time-optimal set-up. Using BC-method we show that the data of the inverse problem (electromagnetic measurements on the boundary) determine a $C$*-algebra, which has a spectrum homeomorphic to a part of the manifold. This part depends on the duration of measurements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-31T19:52:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electrodynamics",
      "maxwell system",
      "part depends",
      "dynamical inverse problem",
      "electromagnetic measurements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.7090B"
    }
  }
}