{
  "abstract": "We revisit the Calderón problem for the fractional Schrödinger equation and prove that the potential is determined by Dirichlet-to-Neumann maps at a single exterior point, with exterior inputs varying in a disjoint open set. This holds for continuous potentials for all $0<s<1$ and for bounded potentials when $s\\geq 1/4$. For ordered nonnegative bounded potentials, one fixed nonzero nonnegative input and one point measurement suffice for every $0<s<1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36253",
  "author_total": 2,
  "authors": [
    {
      "name": "Bastian Harrach"
    },
    {
      "name": "Yi-Hsuan Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ef2f5jj1kcpwh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36253",
  "fulltext_url": null,
  "id": "ef2f5jj1kcpwh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36253",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7224120280",
  "pdf_url": "https://arxiv.org/pdf/2610.36253",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ef2f5jj1kcpwh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36253",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36253"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Calderón problem for the fractional Schrödinger equation at a single point",
  "title_text": "The Calderón problem for the fractional Schrödinger equation at a single point",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/ef2f5jj1kcpwh",
  "venue": "arXiv",
  "versions": []
}