{
  "abstract": "We prove that operators of the form $A=-Δ^{2}-V(x)$, with $|D V(x)|\\leq γV(x)^\\frac{5}{4}+ C_γ$ for some $γ$ small enough and $C_γ$ positive constant, generate analytic semigroups in $L^p(\\mathbb{R}^N)$ for $1\\leq p<\\infty$ and in $C_0(\\mathbb{R}^N)$. Moreover, we characterize the maximal domain of such operators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24155",
  "author_total": 3,
  "authors": [
    {
      "name": "Federica Gregorio"
    },
    {
      "name": "Chiara Spina"
    },
    {
      "name": "Cristian Tacelli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a8tcxqz0deyk4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24155",
  "fulltext_url": null,
  "id": "a8tcxqz0deyk4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24155",
  "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": "W7223064413",
  "pdf_url": "https://arxiv.org/pdf/2610.24155",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a8tcxqz0deyk4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24155",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24155"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "$L^p$-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients",
  "title_text": "L^p-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/a8tcxqz0deyk4",
  "venue": "arXiv",
  "versions": []
}