{
  "id": "1201.2552",
  "version": "v4",
  "published": "2012-01-12T12:52:13.000Z",
  "updated": "2015-01-07T10:41:05.000Z",
  "title": "Stability of the determination of the surface impedance of an obstacle from the scattering amplitude",
  "authors": [
    "Mourad Bellassoued",
    "Mourad Choulli",
    "Aymen Jbalia"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the surface impedance of an obstacle from the scattering amplitude. We present a simple and direct proof which is essentially based on an elliptic Carleman inequality.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-11-06T07:37:24.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-01-07T10:41:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surface impedance",
      "scattering amplitude",
      "determination",
      "elliptic carleman inequality",
      "direct proof"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1002/mma.2762",
      "journal": "Mathematical Methods in the Applied Sciences",
      "year": 2013,
      "month": "Dec",
      "volume": 36,
      "number": 18,
      "pages": 2429
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013MMAS...36.2429B"
    }
  }
}