{
  "id": "1102.5542",
  "version": "v1",
  "published": "2011-02-27T19:46:58.000Z",
  "updated": "2011-02-27T19:46:58.000Z",
  "title": "Inverse boundary value problems for the perturbed polyharmonic operator",
  "authors": [
    "Katsiaryna Krupchyk",
    "Matti Lassas",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that a first order perturbation $A(x)\\cdot D+q(x)$ of the polyharmonic operator $(-\\Delta)^m$, $m\\ge 2$, can be determined uniquely from the set of the Cauchy data for the perturbed polyharmonic operator on a bounded domain in $R^n$, $n\\ge 3$. Notice that the corresponding result does not hold in general when $m=1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-27T19:46:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "31B20",
      "31B30",
      "35J40"
    ],
    "keywords": [
      "inverse boundary value problems",
      "perturbed polyharmonic operator",
      "first order perturbation",
      "cauchy data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.5542K"
    }
  }
}