{
  "abstract": "We consider an inverse boundary value problem for the time-independent Schrödinger equation in dimension three. We prove that the local Dirichlet-to-Neumann map defined near a boundary point uniquely determines the potential in a neighborhood of the boundary point in the interior. In particular, we show that the uniqueness question can be reduced to the injectivity of a weighted X-ray transform, which links inverse boundary value problems to integral geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.10247",
  "author_total": 2,
  "authors": [
    {
      "name": "Gunther Uhlmann"
    },
    {
      "name": "Yiran Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8gx3qhr37800j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.10247",
  "fulltext_url": null,
  "id": "8gx3qhr37800j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.10247",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7164158958",
  "pdf_url": "https://arxiv.org/pdf/2606.10247",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8gx3qhr37800j.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:09Z",
      "native_id": "2606.10247",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.10247"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The partial data Calderón problem in dimension three",
  "title_text": "The partial data Calderón problem in dimension three",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/8gx3qhr37800j",
  "venue": "arXiv",
  "versions": []
}