{
  "abstract": "We establish quantitative local higher integrability estimates for weak solutions of degenerate parabolic systems with generalized double phase growth, whose prototype is $$u_t-\\operatorname{div}\\left(\\frac{G'(|Du|)}{|Du|}Du+a(x,t)\\frac{H'(|Du|)}{|Du|}Du\\right)=0\\qquad\\text{in }Ω_T.$$ Here $G$ and $H$ are Young functions satisfying suitable structural assumptions. The nonnegative coefficient $a$ is allowed to vanish and has a concave modulus of continuity $ω$ with respect to the parabolic distance. For $Ψ(z,\\varkappa)=G(\\varkappa)+a(z)H(\\varkappa)$, we prove that solutions in $L^\\infty(0,T;L^s(Ω,\\mathbb{R}^N))$, $2\\le s<\\infty$, satisfy $Ψ(\\cdot,|Du|)\\in L^{1+\\varepsilon}_{\\mathrm{loc}}$ for some $\\varepsilon>0$, provided $$\\limsup_{ρ\\to 0+}ω(ρ)\\frac{H(ρ^{-\\frac{n+s}{s}})}{G(ρ^{-\\frac{n+s}{s}})}<\\infty.$$ For bounded solutions, the corresponding condition involves $H(ρ^{-1})/G(ρ^{-1})$. These conditions extend the known interpolative gap bounds from power growth to general growth functions and continuity moduli. In particular, for $G(\\varkappa)=\\varkappa^p$, $H(\\varkappa)=\\varkappa^q$, and $ω(ρ)\\simeqρ^α$, they recover $q\\le p+sα/(n+s)$ and $q\\le p+α$, respectively. The proof combines an intrinsic stopping-time argument with inverse-function estimates to derive Poincaré and reverse Hölder inequalities adapted to the general growth phases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08291",
  "author_total": 3,
  "authors": [
    {
      "name": "Bogi Kim"
    },
    {
      "name": "Jehan Oh"
    },
    {
      "name": "Abhrojyoti Sen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/chn8kgx8072pf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08291",
  "fulltext_url": null,
  "id": "chn8kgx8072pf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08291",
  "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/2611.08291",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/chn8kgx8072pf.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.08291",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08291"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Gradient higher integrability for a general class of degenerate parabolic double phase systems",
  "title_text": "Gradient higher integrability for a general class of degenerate parabolic double phase systems",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:49Z",
  "url": "https://research.draconitic.com/paper/chn8kgx8072pf",
  "venue": "arXiv",
  "versions": []
}