{
  "id": "1905.01561",
  "version": "v1",
  "published": "2019-05-04T22:33:54.000Z",
  "updated": "2019-05-04T22:33:54.000Z",
  "title": "A remark on partial data inverse problems for semilinear elliptic equations",
  "authors": [
    "Katya Krupchyk",
    "Gunther Uhlmann"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that the knowledge of the Dirichlet-to-Neumann map on an arbitrary open portion of the boundary of a domain in $\\mathbb{R}^n$, $n\\ge 2$, for a class of semilinear elliptic equations, determines the nonlinearity uniquely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-04T22:33:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35J61"
    ],
    "keywords": [
      "partial data inverse problems",
      "semilinear elliptic equations",
      "arbitrary open portion",
      "dirichlet-to-neumann map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}