{
  "abstract": "We establish an infinite-dimensional sewing lemma for discontinuous paths on a scale of Banach spaces. This allows us to construct Young and rough convolutions with jumps. Based on this we analyze the local and global well-posedness of semilinear parabolic rough partial differential equations (PDEs) with jumps in mixed space-time regularity spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37401",
  "author_total": 3,
  "authors": [
    {
      "name": "Alexandra Blessing Neamţu"
    },
    {
      "name": "Hongjun Gao"
    },
    {
      "name": "Haoyuan Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0xxd7a5f69gj5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37401",
  "fulltext_url": null,
  "id": "0xxd7a5f69gj5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37401",
  "language": null,
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  "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"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Nonlinear Differential Equations Analysis"
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  "openalex": "W7224084196",
  "pdf_url": "https://arxiv.org/pdf/2610.37401",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0xxd7a5f69gj5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37401",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37401"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "A semigroup approach for rough partial differential equations with jumps",
  "title_text": "A semigroup approach for rough partial differential equations with jumps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/0xxd7a5f69gj5",
  "venue": "arXiv",
  "versions": []
}