{
  "abstract": "We investigate the scattering of elastic waves by anisotropic inhomogeneous media at a fixed wave number. We prove that, in two dimensions, every penetrable obstacle with piecewise $C^{1}$ boundary and corner singularities, and, in higher dimensions, every obstacle with edge singularities, scatters every incident wave satisfying suitable assumptions. This work extends our previous result [J. Math. Anal. Appl. 2026, doi:10.1016/j.jmaa.2026.130630] from scalar equations to systems of equations, a generalization that requires a more delicate blowup analysis and more involved computations. Roughly speaking, our results establish the principle that \\emph{corners always scatter} for general anisotropic media with variable coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32148",
  "author_total": 3,
  "authors": [
    {
      "name": "Pu-Zhao Kow"
    },
    {
      "name": "Mikko Salo"
    },
    {
      "name": "Henrik Shahgholian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bafs0addq37b0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32148",
  "fulltext_url": null,
  "id": "bafs0addq37b0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32148",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7214717998",
  "pdf_url": "https://arxiv.org/pdf/2609.32148",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bafs0addq37b0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32148",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32148"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On elastic scattering behavior of corner domains",
  "title_text": "On elastic scattering behavior of corner domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/bafs0addq37b0",
  "venue": "arXiv",
  "versions": []
}