{
  "abstract": "We consider a stochastic, fully parabolic Keller-Segel system with multiplicative noise in non-divergence form and a logistic source in a two-dimensional bounded domain, subject to random initial data. We construct a global-in-time, non-negative martingale solution by means of a suitable regularisation procedure, combined with Banach fixed-point arguments, a localisation procedure, and a stochastic compactness method. We further establish pathwise uniqueness and uniqueness in law for martingale solutions, and prove the existence of a unique global-in-time, non-negative weak solution without imposing any smallness condition on the initial data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22458",
  "author_total": 3,
  "authors": [
    {
      "name": "Erika Hausenblas"
    },
    {
      "name": "Boris Jidjou Moghomye"
    },
    {
      "name": "Paul Andre Razafimandimby"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ettzaxhaw74a8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22458",
  "fulltext_url": null,
  "id": "ettzaxhaw74a8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22458",
  "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"
    ],
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      "openalex",
      "2611|Mathematical Biology Tumor Growth"
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  "openalex": "W7222942668",
  "pdf_url": "https://arxiv.org/pdf/2610.22458",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ettzaxhaw74a8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.22458",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22458"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Well-posedness of 2D stochastic parabolic-parabolic Keller-Segel system with logistic source",
  "title_text": "Well-posedness of 2D stochastic parabolic-parabolic Keller-Segel system with logistic source",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/ettzaxhaw74a8",
  "venue": "arXiv",
  "versions": []
}