{
  "abstract": "We study the simultaneous identification of the Lamé parameters $λ$ and $μ$ in three-dimensional static isotropic elasticity. For smooth coefficients, we establish uniqueness from the full Dirichlet-to-Neumann map when $μ$ is axisymmetric, admits a multiplicative or additive separation on a product domain, or is quasianalytic in one fixed direction. These results require neither smallness of $\\nablaμ$ nor real analyticity of the coefficients, and impose no corresponding structural condition on $λ$. In the axisymmetric and separated cases, partial boundary data suffice to determine $μ$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20134",
  "author_total": 4,
  "authors": [
    {
      "name": "Lu Chen"
    },
    {
      "name": "Yan Jiang"
    },
    {
      "name": "Hongyu Liu"
    },
    {
      "name": "Longyue Tao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/exx1yeyrmgjdh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20134",
  "fulltext_url": null,
  "id": "exx1yeyrmgjdh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20134",
  "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": "W7213597868",
  "pdf_url": "https://arxiv.org/pdf/2609.20134",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/exx1yeyrmgjdh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2609.20134",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20134"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On an inverse boundary problem in elastodynamics",
  "title_text": "On an inverse boundary problem in elastodynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/exx1yeyrmgjdh",
  "venue": "arXiv",
  "versions": []
}