{
  "abstract": "We study the Calderón problem for smooth quasilinear current laws on a bounded domain in $\\mathbb{R}^n$, $n\\geq3$. Under the stated structural assumptions and analyticity conditions, the interior current law is determined by local Dirichlet-to-Neumann maps, up to a partial-boundary-fixing diffeomorphism and a Hall-effect-type invisible current. The two obstructions come from the linearized inverse problem, which is solved by combining boundary determination for magnetic Schrödinger operators with analytic continuation in solution coordinates. Higher-order linearization and a boundary argument involving products of three solution gradients then determine the remaining Taylor coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25337",
  "author_total": 1,
  "authors": [
    {
      "name": "Ziyun Jin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ptv2q5n7x6nx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25337",
  "fulltext_url": null,
  "id": "5ptv2q5n7x6nx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25337",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7223010440",
  "pdf_url": "https://arxiv.org/pdf/2610.25337",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ptv2q5n7x6nx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25337",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25337"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Calderón Problem for Quasilinear Currents",
  "title_text": "The Calderón Problem for Quasilinear Currents",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5ptv2q5n7x6nx",
  "venue": "arXiv",
  "versions": []
}