{
  "abstract": "In this article, we prove a stability result for the identification of the coefficients appearing in a coupled relativistic Schrödinger system posed on a bounded domain of $\\mathbb{R}^{1+n}$, where $n \\geq 3$. More precisely, by utilizing input-output operator, where Neumann boundary data are available only on a subset of the boundary, and constructing an appropriate geometric optics solution, we derive a stability estimate of $\\log$-$\\log$ type for the matrix-valued first-order coefficients. This result is subsequently used to obtain a $\\log$-$\\log$-$\\log$ type stability estimate for the zeroth-order matrix-valued potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15013",
  "author_total": 3,
  "authors": [
    {
      "name": "Nitesh Kumar"
    },
    {
      "name": "Parveen Kumar"
    },
    {
      "name": "Tanmay Sarkar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/drmtfj1gb55we.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15013",
  "fulltext_url": null,
  "id": "drmtfj1gb55we",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15013",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7221790032",
  "pdf_url": "https://arxiv.org/pdf/2610.15013",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/drmtfj1gb55we.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15013",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15013"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Stability in the determination of the coefficients for coupled relativistic Schrödinger system",
  "title_text": "Stability in the determination of the coefficients for coupled relativistic Schrödinger system",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/drmtfj1gb55we",
  "venue": "arXiv",
  "versions": []
}