{
  "abstract": "In this paper, we obtain the dispersive estimates and global well-posedness of the nonlinear magnetic Schrödinger equation in $\\mathbb{R}^{3}$ with nonlinearity $|u|^{p-1}u$ with exponent $\\frac{5}{3}< p<5$ when the initial value stays in a suitable space $Σ_{s}$. By proving the resolvent estimates with weight functions and the \\textquotedblleft almost equivalence\\textquotedblright between $(-Δ_{A})^{\\frac{s}{2}}$ and $(-Δ)^{\\frac{s}{2}}$, we obtain the Strichartz estimates of $|J_{A}(t)|^{s}u:=e^{\\frac{i|x|^{2}}{4t}}(-t^{2}Δ_{A})^{\\frac{s}{2}}e^{\\frac{-i|x|^{2}}{4t}}u$, therefore the dispersive decay estimates are obtained.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.26756",
  "author_total": 2,
  "authors": [
    {
      "name": "Lei Wei"
    },
    {
      "name": "Zhi Wenduan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fxsvdjhjz0s2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.26756",
  "fulltext_url": null,
  "id": "2fxsvdjhjz0s2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.26756",
  "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.SP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.26756",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fxsvdjhjz0s2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.26756",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.26756"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Dispersive decay for the Nonlinear magnetic Schrödinger equation",
  "title_text": "Dispersive decay for the Nonlinear magnetic Schrödinger equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/2fxsvdjhjz0s2",
  "venue": "arXiv",
  "versions": []
}