{
  "abstract": "We investigate the existence of a one-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in dimension five. The key point of the construction is a refined inner linear theory as in \\cite[Section 8]{Wei-Zhang-Zhou2022LLG}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18370",
  "author_total": 2,
  "authors": [
    {
      "name": "Junichi Harada"
    },
    {
      "name": "Qidi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ddphanqy51hd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18370",
  "fulltext_url": null,
  "id": "4ddphanqy51hd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18370",
  "language": null,
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  "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"
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    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7213499357",
  "pdf_url": "https://arxiv.org/pdf/2609.18370",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ddphanqy51hd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18370",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18370"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in $\\mathbb{R}^5$",
  "title_text": "One-bubble solution with maximum points escaping to infinity for the energy-critical heat equation in ℝ^5",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/4ddphanqy51hd",
  "venue": "arXiv",
  "versions": []
}