{
  "abstract": "We consider a damped forced nonlinear Klein-Gordon Schr\\''{o}dinger (KGS) system known as the parametric KGS system with Yukawa coupling. We prove the regularity of the global attractor for this infinite-dimensional dynamical system, i.e. that the global attractor is included into a smaller Sobolev space than the energy space. We prove that this global attractor has finite fractal dimension, without any assumption on the decay of the forcing terms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Discrete and Continuous Dynamical Systems - Series S, 2026, 26, pp.288-302",
  "arxiv": "2611.03129",
  "author_total": 2,
  "authors": [
    {
      "name": "Olivier Goubet"
    },
    {
      "name": "Marilena Poulou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2bxw62a2nr0q9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03129",
  "fulltext_url": null,
  "id": "2bxw62a2nr0q9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03129",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03129",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2bxw62a2nr0q9.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03129",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03129"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system",
  "title_text": "Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/2bxw62a2nr0q9",
  "venue": "arXiv",
  "versions": []
}