{
  "id": "2005.06714",
  "version": "v1",
  "published": "2020-05-14T04:03:04.000Z",
  "updated": "2020-05-14T04:03:04.000Z",
  "title": "A Semilinear Inverse Problem For The Fractional Magnetic Laplacian",
  "authors": [
    "Li Li"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a class of fractional semilinear elliptic equations and formulate the corresponding Calder\\'on problem. We determine the nonlinearity from the exterior partial measurements of the Dirichlet-to-Neumann map by using first order linearization and the Runge approximation property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-14T04:03:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional magnetic laplacian",
      "semilinear inverse problem",
      "fractional semilinear elliptic equations",
      "first order linearization",
      "runge approximation property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}