{
  "id": "2408.14200",
  "version": "v1",
  "published": "2024-08-26T11:54:35.000Z",
  "updated": "2024-08-26T11:54:35.000Z",
  "title": "The inverse problem for the fractional conductivity equation: a survey",
  "authors": [
    "Giovanni Covi"
  ],
  "comment": "6 pages, short survey to appear as book chapter. Comments welcome!",
  "categories": [
    "math.AP"
  ],
  "abstract": "The fractional Calder\\'on problem asks to determine the unknown coefficients in a nonlocal, elliptic equation of fractional order from exterior measurements of its solutions. There has been substantial work on many aspects of this inverse problem. In this review we collect some recent results related to the conductivity formulation of the fractional Calder\\'on problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-26T11:54:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "26A33",
      "42B37",
      "46F12"
    ],
    "keywords": [
      "fractional conductivity equation",
      "inverse problem",
      "fractional calderon problem asks",
      "conductivity formulation",
      "substantial work"
    ],
    "tags": [
      "book chapter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}