{
  "abstract": "In this article, we prove boundary observability estimates for wave equations on bounded domains $Ω\\subseteq \\mathbb{R}^n$, with a critically singular potential that diverges as the inverse square distance to $\\partial Ω$. The result is applicable in all dimensions and for wave equations with general time-dependent lower order terms. The key geometric assumption is a convexity condition on $Ω$. The main tool for our result is a global Carleman estimate that is carefully adapted to the critical singular nature of the potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28132",
  "author_total": 2,
  "authors": [
    {
      "name": "Vaibhav Kumar Jena"
    },
    {
      "name": "Arick Shao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/by9zj0n4ds6r5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28132",
  "fulltext_url": null,
  "id": "by9zj0n4ds6r5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28132",
  "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",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7204849656",
  "pdf_url": "https://arxiv.org/pdf/2608.28132",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/by9zj0n4ds6r5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2608.28132",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28132"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Observability for wave equations with critically singular potentials",
  "title_text": "Observability for wave equations with critically singular potentials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/by9zj0n4ds6r5",
  "venue": "arXiv",
  "versions": []
}