{
  "id": "1207.5421",
  "version": "v1",
  "published": "2012-07-23T15:05:30.000Z",
  "updated": "2012-07-23T15:05:30.000Z",
  "title": "Stable determination of surface impedance on a rough obstacle by far field data",
  "authors": [
    "Giovanni Alessandrini",
    "Eva Sincich",
    "Sergio Vessella"
  ],
  "comment": "13 pages, submitted for publication",
  "journal": "Inverse Problems and Imaging Pages: 341 - 351, Volume 7, Issue 2, May 2013",
  "doi": "10.3934/ipi.2013.7.341",
  "categories": [
    "math.AP"
  ],
  "abstract": "We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident field. A previous result by Sincich (SIAM J. Math. Anal. 38, (2006), 434-451) showed a log stability when the boundary of the obstacle is assumed to be C^{1,1}-smooth. We prove that, when the obstacle boundary is merely Lipschitz, a log-log type stability still holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-23T15:05:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35R25",
      "31B20"
    ],
    "keywords": [
      "far field data",
      "rough obstacle",
      "surface impedance",
      "stable determination",
      "single incident field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5421A"
    }
  }
}