{
  "abstract": "In this manuscript, we are concerned with the hierarchical control of a non-degenerate quasi-linear parabolic system, posed on a bounded interval. We use the Stackelberg-Nash strategy with a single control called leader and two controls called followers. First, we study the controllability for the linear system, where we will demonstrate a Carleman inequality associated with the adjoint problem. Then, using the results obtained for the linear case and applying Liusternik's Inverse Function Theorem, we obtain local null controllability for the quasi-linear problem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.24379",
  "author_total": 6,
  "authors": [
    {
      "name": "Cristian Loli"
    },
    {
      "name": "George J. Bautista"
    },
    {
      "name": "Juan Limaco"
    },
    {
      "name": "Rafael Lobosco"
    },
    {
      "name": "Dany Nina-Huaman"
    },
    {
      "name": "Luis P. Yapu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/19gdw88aqx31s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.24379",
  "fulltext_url": null,
  "id": "19gdw88aqx31s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.24379",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2608.24379",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/19gdw88aqx31s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2608.24379",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.24379"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system",
  "title_text": "Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/19gdw88aqx31s",
  "venue": "arXiv",
  "versions": []
}