{
  "id": "1412.3465",
  "version": "v1",
  "published": "2014-12-10T21:00:43.000Z",
  "updated": "2014-12-10T21:00:43.000Z",
  "title": "Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves",
  "authors": [
    "Elena Beretta",
    "Maarten V. de Hoop",
    "Elisa Francini",
    "Sergio Vessella",
    "Jian Zhai"
  ],
  "comment": "24 pages, 2 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the inverse problem of determining the Lam\\'{e} parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lam\\'{e} parameters and the density are assumed to be piecewise constant on a given domain partition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-10T21:00:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35M30",
      "35J08"
    ],
    "keywords": [
      "inverse boundary value problem",
      "time-harmonic elastic waves",
      "lipschitz stability",
      "uniqueness",
      "inverse problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3465B"
    }
  }
}