{
  "abstract": "We prove that the Cauchy problem for the model hyperbolic operator in $ \\R^{4} $ \\[ Q=-D_t^2+2xD_tD_y+D_x^2+x^3D_y^2+D_z^2+z^2D_y^2 \\] is not locally solvable at the origin, in the Gevrey $s$ class if $s>6$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.27054",
  "author_total": 1,
  "authors": [
    {
      "name": "Enrico Bernardi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/84cqrjdxpr8wf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.27054",
  "fulltext_url": null,
  "id": "84cqrjdxpr8wf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.27054",
  "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.AP"
    ],
    [
      "openalex",
      "2604|Differential Equations and Boundary Problems"
    ]
  ],
  "openalex": "W7162503746",
  "pdf_url": "https://arxiv.org/pdf/2605.27054",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/84cqrjdxpr8wf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2605.27054",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.27054"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Lack of Gevrey solvability for a model operator",
  "title_text": "Lack of Gevrey solvability for a model operator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/84cqrjdxpr8wf",
  "venue": "arXiv",
  "versions": []
}