{
  "abstract": "This paper investigates the long time well-posedness of the Benjamin-Ono (BO) equation with quasi-periodic initial data in analytic space. We demonstrate that the Lax operator of the BO equation exhibits a trivial spectrum, and elucidate the fundamental mathematical obstacles to establishing global well-posedness. Furthermore, by employing Tao's gauge transformation in conjunction with the Birkhoff Normal Form method, we extend the lifespan of the solutions to $O(ε^{-3})$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.01778",
  "author_total": 1,
  "authors": [
    {
      "name": "Yubo Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/13setekvtz30y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.01778",
  "fulltext_url": null,
  "id": "13setekvtz30y",
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  "landing_url": "https://arxiv.org/abs/2606.01778",
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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      "openalex",
      "2610|Advanced Mathematical Physics Problems"
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  "openalex": "W7163255146",
  "pdf_url": "https://arxiv.org/pdf/2606.01778",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/13setekvtz30y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2606.01778",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.01778"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Long Time Well-posedness for the Benjamin-Ono Equation with Quasi-Periodic Initial Data",
  "title_text": "Long Time Well-posedness for the Benjamin-Ono Equation with Quasi-Periodic Initial Data",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/13setekvtz30y",
  "venue": "arXiv",
  "versions": []
}