{
  "abstract": "In this paper, we firstly study Strichartz estimates $\\|e^{it D^α} u_0\\|_{L_t^q(\\mathbb{R};L_x^r(\\mathbb{R}^d))}\\leq C(d,α,q,r,s)\\|u_0\\|_{\\dot{H}^s}.$ We show some counterexamples for $(q,r) = (2,\\infty)$. Then we consider the embedding $X^{s,b}_α\\hookrightarrow L_t^q(\\mathbb{R};L_x^r(\\mathbb{R}^d))$, where $\\|u\\|_{X_α^{s,b}}:=\\|\\langleξ\\rangle^s\\langle τ-|ξ|^α\\rangle^b\\hat{u}(τ,ξ)\\|_{L^2_{τ,ξ}}$. We present the necessary and sufficient conditions for this embedding.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27846",
  "author_total": 3,
  "authors": [
    {
      "name": "Jie Chen"
    },
    {
      "name": "Yiran Gong"
    },
    {
      "name": "Ying Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6bndr1305ydt6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27846",
  "fulltext_url": null,
  "id": "6bndr1305ydt6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27846",
  "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": "W7204768295",
  "pdf_url": "https://arxiv.org/pdf/2608.27846",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6bndr1305ydt6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.27846",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27846"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Strichartz estimates to fractional Schrödinger equations",
  "title_text": "Strichartz estimates to fractional Schrödinger equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/6bndr1305ydt6",
  "venue": "arXiv",
  "versions": []
}