{
  "abstract": "This work establishes global well-posedness for the three-dimensional defocusing energy-critical nonlinear Schrödinger equation with conservative linear Marcus noise. For arbitrary deterministic energy-space data, we construct a probabilistically strong solution, unique in the critical spacetime class, and prove convergence of finite-activity approximations. The spatial profiles need only be bounded and Lipschitz, while the centered pure-jump Lévy noise is assumed to have finite second moment. If the temporal noise coefficient is square integrable on the half-line, the solution scatters almost surely, with uniform mean-square tail convergence and no smallness restriction. The solution conserves mass and satisfies an exact energy balance. The proof combines deterministic energy-critical stability with Poisson Strichartz estimates; convergence of the interaction-representation martingale gives the critical spacetime control needed for continuation and scattering.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37534",
  "author_total": 4,
  "authors": [
    {
      "name": "Bin Liu"
    },
    {
      "name": "Fan Xu"
    },
    {
      "name": "Bo Yang"
    },
    {
      "name": "Lei Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0k17kd8g4bs20.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37534",
  "fulltext_url": null,
  "id": "0k17kd8g4bs20",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37534",
  "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": "W7214906229",
  "pdf_url": "https://arxiv.org/pdf/2609.37534",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0k17kd8g4bs20.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.37534",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37534"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global well-posedness and scattering for energy-critical Schrodinger equations with conservative Marcus noise",
  "title_text": "Global well-posedness and scattering for energy-critical Schrodinger equations with conservative Marcus noise",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/0k17kd8g4bs20",
  "venue": "arXiv",
  "versions": []
}