{
  "abstract": "We study the $s$-Schrödinger map equation \\[ \\begin{cases} \\partial_t u = -u \\wedge (-Δ)^s u \\quad \\text{on } \\mathbb{R}^n \\times \\mathbb{R}\\\\ u: \\mathbb{R}^n \\times \\mathbb{R} \\to \\mathbb{S}^2\\\\ u(x,0) = u_0. \\end{cases} \\] For $s \\in (1/2,1)$ and $n \\geq 5$ we prove that for small initial data $u_0$ in the critical Besov space one can obtain a global solution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17668",
  "author_total": 2,
  "authors": [
    {
      "name": "Ahmed Dughayshim"
    },
    {
      "name": "Armin Schikorra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9efpr8vkjwh8k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17668",
  "fulltext_url": null,
  "id": "9efpr8vkjwh8k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17668",
  "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": "W7221785193",
  "pdf_url": "https://arxiv.org/pdf/2610.17668",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9efpr8vkjwh8k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17668",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17668"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global existence of the $s$-Schrödinger maps in $n \\geq 5$",
  "title_text": "Global existence of the s-Schrödinger maps in n ≥ 5",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/9efpr8vkjwh8k",
  "venue": "arXiv",
  "versions": []
}