{
  "abstract": "This is a continuation of our recent work~\\cite{WZJ26} on asymptotic gradient regularity for nonlinear parabolic equations. In this paper, we consider bounded viscosity solutions of the degenerate or singular fully nonlinear parabolic equation \\begin{equation*} u_t-|Du|^γF(D^2u)=f \\quad \\text{in } Q_1, \\end{equation*} where $ γ>-1 $, $ F $ is uniformly $ (λ, Λ)$-elliptic with $0<λ\\leqΛ$, $F(0)=0$, and $f\\in C^0(Q_1)\\cap L^\\infty(Q_1)$. Given any prescribed $α\\in(0,1)$, we prove that there exists $ \\varepsilon=\\varepsilon(n,α)>0 $ such that \\[ |γ|+\\left(\\fracΛλ-1\\right) \\leq \\varepsilon \\quad \\Longrightarrow \\quad u \\in C_{\\mathrm{loc}}^{1+α,\\frac{1+α}{2}}(Q_1). \\] In particular, the spatial gradient Hölder exponent can be chosen arbitrarily close to $1$ as $ (γ, \\fracΛλ) \\to (0,1) $. This provides a fully nonlinear counterpart to the asymptotic gradient regularity result established in~\\cite{WZJ26}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23683",
  "author_total": 1,
  "authors": [
    {
      "name": "Jiangwen Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5b6fxnrfffy19.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23683",
  "fulltext_url": null,
  "id": "5b6fxnrfffy19",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23683",
  "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"
    ],
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7222943003",
  "pdf_url": "https://arxiv.org/pdf/2610.23683",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5b6fxnrfffy19.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23683",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23683"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Asymptotic gradient regularity for degenerate or singular fully nonlinear parabolic equations",
  "title_text": "Asymptotic gradient regularity for degenerate or singular fully nonlinear parabolic equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/5b6fxnrfffy19",
  "venue": "arXiv",
  "versions": []
}