{
  "id": "2012.14273",
  "version": "v1",
  "published": "2020-12-24T04:02:49.000Z",
  "updated": "2020-12-24T04:02:49.000Z",
  "title": "Inverse boundary problems for biharmonic operators in transversally anisotropic geometries",
  "authors": [
    "Lili Yan"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1702.07974 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study inverse boundary problems for first order perturbations of the biharmonic operator on a conformally transversally anisotropic Riemannian manifold of dimension $n \\ge 3$. We show that a continuous first order perturbation can be determined uniquely from the knowledge of the set of the Cauchy data on the boundary of the manifold provided that the geodesic $X$-ray transform on the transversal manifold is injective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-24T04:02:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R01",
      "35R30",
      "58J32",
      "53C65"
    ],
    "keywords": [
      "transversally anisotropic geometries",
      "biharmonic operator",
      "first order perturbation",
      "study inverse boundary problems",
      "conformally transversally anisotropic riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}