{
  "id": "1103.0113",
  "version": "v1",
  "published": "2011-03-01T09:30:43.000Z",
  "updated": "2011-03-01T09:30:43.000Z",
  "title": "Determining a first order perturbation of the biharmonic operator by partial boundary measurements",
  "authors": [
    "Katsiaryna Krupchyk",
    "Matti Lassas",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider an operator $\\Delta^2 + A(x)\\cdot D+q(x)$ with the Navier boundary conditions on a bounded domain in $R^n$, $n\\ge 3$. We show that a first order perturbation $A(x)\\cdot D+q$ can be determined uniquely by measuring the Dirichlet--to--Neumann map on possibly very small subsets of the boundary of the domain. Notice that the corresponding result does not hold in general for a first order perturbation of the Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-01T09:30:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "31B20",
      "31B30",
      "35J40"
    ],
    "keywords": [
      "first order perturbation",
      "partial boundary measurements",
      "biharmonic operator",
      "navier boundary conditions",
      "determining"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0113K"
    }
  }
}