{
  "abstract": "We consider an inverse problem for a semilinear wave equation with time-independent damping, linear potential, and nonlinear potential coefficients in a bounded domain of $\\mathbb{R}^n$ for $n\\geq 2$. The main objective is to establish stability estimates for the simultaneous recovery of these coefficients from the associated Dirichlet-to-Neumann map. Our approach combines second-order linearization with suitably constructed geometric optics and asymptotic solutions. We establish Hölder-type stability estimates for the recovery of each of the three coefficients appearing in the semilinear wave equation under suitable a priori bounds on these coefficients. To the best of our knowledge, this is the first stability result for simultaneous determination of time-independent damping, linear and nonlinear potentials in a semiliner wave equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08951",
  "author_total": 3,
  "authors": [
    {
      "name": "Rahul Bhardwaj"
    },
    {
      "name": "Mandeep Kumar"
    },
    {
      "name": "Manmohan Vashisth"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e0rb6jnzczsvh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08951",
  "fulltext_url": null,
  "id": "e0rb6jnzczsvh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08951",
  "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": "W7212086341",
  "pdf_url": "https://arxiv.org/pdf/2609.08951",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e0rb6jnzczsvh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:01Z",
      "native_id": "2609.08951",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08951"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Stable determination of damping and potential coefficients in a semilinear wave equation",
  "title_text": "Stable determination of damping and potential coefficients in a semilinear wave equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:01Z",
  "url": "https://research.draconitic.com/paper/e0rb6jnzczsvh",
  "venue": "arXiv",
  "versions": []
}