{
  "abstract": "We study the stability of the log--log blow-up regime for the focusing mass-critical nonlinear Schrödinger equation under small $H^s$ perturbations. Previously, stability was established for every $0<s<1$ in dimension two by Colliander and Raphaël [Math. Ann. (2009)] and subsequently extended to dimensions $d\\geq3$ under the restriction $s>1/(1+\\min\\{1,4/d\\})$ by Sun and the fourth author [J. Math. Pures Appl. (2020)]. We remove this restriction and establish stability throughout the full subcritical range $0<s<1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29818",
  "author_total": 4,
  "authors": [
    {
      "name": "Zuyu Ma"
    },
    {
      "name": "Changxing Miao"
    },
    {
      "name": "Yilin Song"
    },
    {
      "name": "Jiqiang Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0wp4wexbrv4nn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29818",
  "fulltext_url": null,
  "id": "0wp4wexbrv4nn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29818",
  "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|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7214289660",
  "pdf_url": "https://arxiv.org/pdf/2609.29818",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0wp4wexbrv4nn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29818",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29818"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Rough log-log blowup solutions to mass-critical NLS in higher dimensions $d\\geq 3$",
  "title_text": "Rough log-log blowup solutions to mass-critical NLS in higher dimensions d≥ 3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/0wp4wexbrv4nn",
  "venue": "arXiv",
  "versions": []
}