{
  "abstract": "We consider the inhomogeneous doubly nonlinear parabolic systems of the form \\begin{equation*}\\partial_t (|u|^{q-1}u)-\\operatorname{div}(|Du|^{p-2}Du)=\\operatorname{div}(|F|^{p-2}F)\\end{equation*} in a bounded space-time cylinder $Ω_T=Ω\\times(0,T)\\subset \\mathbb{R}^{N+1}$. We study the local regularity properties for weak solutions in the subcritical range $p\\leq\\frac{N(q+1)}{N+q+1}$ and $0<q<\\frac{N+2}{N-2}$. Under an extra integrability assumption $|u|\\in L_{\\loc}^{\\rr}(Ω_T)$, we establish a quantitative bound for $|u|$. Here, the exponent $\\rr$ satisfies $\\mathrmλ_{\\rr}=N(p-q-1)+p\\rr>0$. In addition, we prove local higher integrability of $|Du|$ in the range $p=\\frac{N(q+1)}{N+q+1}$ and $\\frac{N+p}{N-p}<q<\\frac{N+2}{N-2}$, provided that $|u|\\in L_{\\loc}^{\\rr}(Ω_T)$ holds.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.19909",
  "author_total": 1,
  "authors": [
    {
      "name": "Qifan Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/79zhy3ts35ktt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.19909",
  "fulltext_url": null,
  "id": "79zhy3ts35ktt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.19909",
  "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",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7203862394",
  "pdf_url": "https://arxiv.org/pdf/2608.19909",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/79zhy3ts35ktt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2608.19909",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.19909"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On the Local boundedness and higher integrability for the subcritical doubly nonlinear parabolic systems",
  "title_text": "On the Local boundedness and higher integrability for the subcritical doubly nonlinear parabolic systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/79zhy3ts35ktt",
  "venue": "arXiv",
  "versions": []
}