{
  "abstract": "This paper investigates a boundary-value problem for the Korteweg-de Vries (KdV) equation on a finite equilateral star-graph. We use the notion of s-compatibility, which extends classical compatibility conditions to the coupled boundary conditions arising at the central vertex, inspired by the work of Bona, Sun, and Zhang [14]. By combining analytical techniques, fixed-point argument, and nonlinear interpolation on suitable augmented spaces, we establish global well-posedness for the nonlinear problem in Hs 0≤s≤3. At the critical indices s = 1/2,3/2,5/2, the admissible data are defined through constrained interpolation; away from these indices, they are characterized by the corresponding pointwise compatibility conditions. The nonlinear compatibility condition at the central vertex is handled by introducing an auxiliary variable, which allows the interpolation argument to be carried out on a pair of linear spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Roberto de Almeida Capistrano Filho"
    },
    {
      "name": "Hugo Parada"
    },
    {
      "name": "Jandeilson Santos da Silva"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6v9wdt914wqmm.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "6v9wdt914wqmm",
  "issns": [],
  "landing_url": "https://hal.science/hal-05421349v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ap"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05421349/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6v9wdt914wqmm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:40Z",
      "native_id": "hal-05421349",
      "source": "hal",
      "url": "https://hal.science/hal-05421349v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A nonhomogeneous boundary-value problem for the nonlinear KdV equation on star graphs",
  "title_text": "A nonhomogeneous boundary-value problem for the nonlinear KdV equation on star graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:40Z",
  "url": "https://research.draconitic.com/paper/6v9wdt914wqmm",
  "venue": "HAL",
  "versions": []
}