{
  "id": "2010.14180",
  "version": "v1",
  "published": "2020-10-27T10:31:03.000Z",
  "updated": "2020-10-27T10:31:03.000Z",
  "title": "A note on the partial data inverse problem for a nonlinear magnetic Schrödinger operator on Riemann surface",
  "authors": [
    "Yilin Ma"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We recover a nonlinear magnetic Schr\\\"odinger potential from measurement on an arbitrarily small open subset of the boundary on a compact Riemann surface. We assume that the magnetic potential satisfies suitable analytic properties, in which case the recovery can be obtained by a linearisation argument. The proof relies on the complex analytic methods introduced in [15].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T10:31:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30"
    ],
    "keywords": [
      "nonlinear magnetic schrödinger operator",
      "partial data inverse problem",
      "riemann surface",
      "satisfies suitable analytic properties",
      "potential satisfies suitable analytic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}