{
  "abstract": "We study the evolutionary equation $$\\frac{\\partial u}{\\partial t} = (\\mathcal{L}_{\\infty})^αu \\quad \\text{in} \\quad Ω,$$ where $(\\mathcal{L}_{\\infty})^αu$ denotes a nonlocal infinity Laplacian acting on the function $u$, $0<α\\leq 1$ and $Ω$ is a bounded open set in $\\mathbb{R}^{n+1}$. We prove existence and uniqueness using Perron's method for the Dirichlet problem when $Ω$ is a cylinder and $0<α<1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11311",
  "author_total": 1,
  "authors": [
    {
      "name": "Frida Fejne"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/akddrdhzn4dkv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11311",
  "fulltext_url": null,
  "id": "akddrdhzn4dkv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11311",
  "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",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7212242476",
  "pdf_url": "https://arxiv.org/pdf/2609.11311",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/akddrdhzn4dkv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.11311",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11311"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On an evolutionary equation involving the nonlocal infinity Laplacian",
  "title_text": "On an evolutionary equation involving the nonlocal infinity Laplacian",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/akddrdhzn4dkv",
  "venue": "arXiv",
  "versions": []
}