{
  "abstract": "We consider the inverse problem of recovering a potential $q$, depending on space and time, in the wave equation $(\\Box_g+q)u=0$ on a Lorentzian manifold. We prove Lipschitz stability for a formally determined version of this problem under a \\textit{null-cone foliation} assumption. As a consequence, we obtain uniqueness for the Lorentzian Calderón problem in a fixed conformal class. Our approach uses distorted spherical waves.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10413",
  "author_total": 2,
  "authors": [
    {
      "name": "Spyridon Filippas"
    },
    {
      "name": "Lauri Oksanen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8xv54hgnm1t6p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10413",
  "fulltext_url": null,
  "id": "8xv54hgnm1t6p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10413",
  "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"
    ],
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      "arxiv",
      "math.DG"
    ],
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      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7221043712",
  "pdf_url": "https://arxiv.org/pdf/2610.10413",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8xv54hgnm1t6p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.10413",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10413"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Stability for a formally determined Lorentzian inverse problem",
  "title_text": "Stability for a formally determined Lorentzian inverse problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/8xv54hgnm1t6p",
  "venue": "arXiv",
  "versions": []
}