{
  "abstract": "We extend DiBenedetto's intrinsic parabolic Harnack estimates to a class of integro-differential equations with measurable kernels modeled on the fractional $p$-Laplacian. More remarkably, we establish intrinsic, representation type nonlocal estimates and reveal that nonnegative local solutions abide by a strong maximum principle even for $p>2$, a property unique to nonlocal problems. Analogous results hold true for nonlocal equations of porous medium type.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17400",
  "author_total": 1,
  "authors": [
    {
      "name": "Naian Liao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dp8ka73azfwca.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17400",
  "fulltext_url": null,
  "id": "dp8ka73azfwca",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17400",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7213415431",
  "pdf_url": "https://arxiv.org/pdf/2609.17400",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dp8ka73azfwca.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.17400",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17400"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Nonlocal intrinsic Harnack estimates",
  "title_text": "Nonlocal intrinsic Harnack estimates",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/dp8ka73azfwca",
  "venue": "arXiv",
  "versions": []
}