{
  "id": "1110.5145",
  "version": "v1",
  "published": "2011-10-24T07:29:48.000Z",
  "updated": "2011-10-24T07:29:48.000Z",
  "title": "Increasing stability in an inverse problem for the acoustic equation",
  "authors": [
    "Sei Nagayasu",
    "Gunther Uhlmann",
    "Jenn-Nan Wang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we study the inverse boundary value problem of determining the refractive index in the acoustic equation. It is known that this inverse problem is ill-posed. Nonetheless, we show that the ill-posedness decreases when we increase the frequency and the stability estimate changes from logarithmic type for low frequencies to a Lipschitz estimate for large frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-24T07:29:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse problem",
      "acoustic equation",
      "increasing stability",
      "inverse boundary value problem",
      "stability estimate changes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.5145N"
    }
  }
}