{
  "abstract": "We establish well posedness of the Dirichlet problem in weak local John domains $Ω\\subset\\R^\\dmn$ with Ahlfors regular boundaries of possibly non integer dimension $0<\\bdmn<\\dmn$, for linear second order elliptic equations with real coefficients, and with data in Besov spaces with a very broad range of acceptable parameters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07225",
  "author_total": 3,
  "authors": [
    {
      "name": "Ariel Barton"
    },
    {
      "name": "Svitlana Mayboroda"
    },
    {
      "name": "Alberto Pacati"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6sep4araykayj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07225",
  "fulltext_url": null,
  "id": "6sep4araykayj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07225",
  "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",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7221002657",
  "pdf_url": "https://arxiv.org/pdf/2610.07225",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6sep4araykayj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07225",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07225"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Dirichlet problem with boundary data of fractional smoothness in domains with Ahlfors regular boundary",
  "title_text": "The Dirichlet problem with boundary data of fractional smoothness in domains with Ahlfors regular boundary",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/6sep4araykayj",
  "venue": "arXiv",
  "versions": []
}