{
  "abstract": "Let $G$ be any given continuous positive function on $\\mathbb{R}_+$. Let $V$ be radial with $|V(x)|\\leq G(|x|)$. We prove a Landis-type theorem for any real-valued solution of $Δu=Vu$ on $\\mathbb{R}^n$. We construct a decay threshold $e^{-g(r)}$, where $g$ is a strictly increasing function which can be computed explicitly in terms of $G$. Under suitable assumptions the exponent in the decay threshold is proportional to the Agmon distance associated with $G$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.07276",
  "author_total": 1,
  "authors": [
    {
      "name": "Henrik Ueberschaer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36hy3prb2qaqj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.07276",
  "fulltext_url": null,
  "id": "36hy3prb2qaqj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.07276",
  "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-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SP"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7202124464",
  "pdf_url": "https://arxiv.org/pdf/2608.07276",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/36hy3prb2qaqj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2608.07276",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.07276"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Unique continuation at infinity for potentials with arbitrary radial growth",
  "title_text": "Unique continuation at infinity for potentials with arbitrary radial growth",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/36hy3prb2qaqj",
  "venue": "arXiv",
  "versions": []
}