{
  "abstract": "We study the Fisher--KPP equation on the half-line under Dirichlet,Neumann, and Robin boundary conditions. For the autonomous logistic equation, we identify bounded stationary profiles converging to $1$ and obtain exponential far-field comparison estimates. We prove local uniform convergence of nontrivial Neumann solutions to $1$. Assuming local uniform convergence of the Robin solution to its stationary profile, we derive asymptotic Neumann--Robin comparison estimates. We then consider small time-periodic Neumann and Robin boundary forcing. Under exponential stability of the homogeneous linearized semigroup, we construct a locally unique small periodic lifted mild solution and obtain a first-order expansion with a uniform $O(\\varepsilon^2)$ remainder in $C_0([0,\\infty))$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.12379",
  "author_total": 2,
  "authors": [
    {
      "name": "Chu Chu"
    },
    {
      "name": "M. W. Wong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fgrjsrpj00szr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.12379",
  "fulltext_url": null,
  "id": "fgrjsrpj00szr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.12379",
  "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/2608.12379",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fgrjsrpj00szr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2608.12379",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.12379"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Asymptotic Behavior and Error Bounds for Fisher-KPP Equations on the Real Half-Line",
  "title_text": "Asymptotic Behavior and Error Bounds for Fisher-KPP Equations on the Real Half-Line",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/fgrjsrpj00szr",
  "venue": "arXiv",
  "versions": []
}