{
  "abstract": "In this paper, we prove that the defocusing mass-critical Hartree equation is global well-posed and scatters for any initial data $u_0\\in L^2$, and prove the analogous result in the focusing case, provided the mass of $u_0$ is strictly less than that of the ground state $Q$. This result removes the radial restriction from [C. Miao, G. Xu and L. Zhao, J. Math. Pures Appl. (9), 91(2009), 49-79.], thereby proving the scattering conjecture for the Hartree equation at the scaling-critical regularity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28454",
  "author_total": 4,
  "authors": [
    {
      "name": "Zuyu Ma"
    },
    {
      "name": "Changxing Miao"
    },
    {
      "name": "Matthew Rosenzweig"
    },
    {
      "name": "Jiqiang Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05pgwhe97py6h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28454",
  "fulltext_url": null,
  "id": "05pgwhe97py6h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28454",
  "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",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7214235194",
  "pdf_url": "https://arxiv.org/pdf/2609.28454",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05pgwhe97py6h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.28454",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28454"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global well-posedness and scattering for mass-critical Hartree equation",
  "title_text": "Global well-posedness and scattering for mass-critical Hartree equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/05pgwhe97py6h",
  "venue": "arXiv",
  "versions": []
}