{
  "abstract": "uniqueness for an inverse problem for the fractional conductivity equation on domains that are bounded in one direction. The conductivities are assumed to be nontrivial in the exterior of the domain and isotropic, while the data is given in the form of partial Dirichlet-to-Neumann (DN) maps measured in nondisjoint open subsets of the exterior. This can be seen as the fractional counterpart of the classical inverse conductivity problem. The proof is based on a unique continuation property (UCP) for the DN maps and a novel exterior determination method from the partial exterior DN maps, which is a nonlocal analog of the classical boundary determination method by Kohn and Vogelius. Exterior determination is achieved independently of the UCP and despite the nonlocality of the equation.",
  "abstract_shown": true,
  "affiliations": [
    "Institut fur Angewandte Mathematik, Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany",
    "University of Jyväskylä, Department of Mathematics and Statistics, Seminaarinkatu 15, FI-40014 University of Jyväskylä, PO Box 35 Finland",
    "Computational Engineering, School of Engineering Sciences, Lappeenranta-Lahti University of Technology LUT, Lappeenranta, Finland",
    "Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB UK",
    "Department of Mathematics, ETH Zurich, Zürich, Switzerland",
    "Institute of Mathematics, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Giovanni Covi",
      "orcid": "0000-0003-1676-004X"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Jesse Railo",
      "orcid": "0000-0001-9226-4190"
    },
    {
      "affs": [
        4,
        5
      ],
      "name": "Philipp Zimmermann",
      "orcid": "0000-0002-6791-1779"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a5a9pk0aevhdh.bib",
  "cited_by": 7,
  "doi": "10.1007/s00526-026-03401-6",
  "fulltext_url": null,
  "id": "a5a9pk0aevhdh",
  "issns": [
    "0944-2669",
    "1432-0835"
  ],
  "landing_url": "https://doi.org/10.1007/s00526-026-03401-6",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W4223656457",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00526-026-03401-6.pdf",
  "pmcid": "PMC13553603",
  "pmid": "42718936",
  "published": "2026-09-01",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/a5a9pk0aevhdh.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:20:59Z",
      "native_id": "W4223656457",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00526-026-03401-6"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Numerical methods in inverse problems",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The global inverse fractional conductivity problem",
  "title_text": "The global inverse fractional conductivity problem",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T13:20:22Z",
  "url": "https://research.draconitic.com/paper/a5a9pk0aevhdh",
  "venue": "Calculus of Variations and Partial Differential Equations",
  "versions": []
}