{
  "abstract": "For the focusing semilinear wave equation in the superconformal, Sobolev-subcritical range, we prove an upper blow-up bound at the ODE rate near a non-characteristic point, assuming approximation by signed multiples of explicit stationary profiles in similarity variables. The comparison parameters may vary with time, and the error is measured only in a degenerate energy norm on a small extension of the unit ball. The main step is a quantitative exclusion of concentration at the boundary of the profile family. It follows from the nonnegativity of the superconformal Hamza--Zaag energy at admissible vertices and an upper perturbation estimate. We also exclude families with an isolated dominant profile and, under a noncancellation condition, clusters of comparable profiles. For the latter, we derive a limiting energy in $\\R^{N+1}$ which accounts for the interactions between profiles.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26513",
  "author_total": 1,
  "authors": [
    {
      "name": "Firas Kaabi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5cymxwkgz8a9t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26513",
  "fulltext_url": null,
  "id": "5cymxwkgz8a9t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26513",
  "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",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7223033439",
  "pdf_url": "https://arxiv.org/pdf/2610.26513",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5cymxwkgz8a9t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26513",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26513"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Blow-up bounds under profile approximation for superconformal wave equations",
  "title_text": "Blow-up bounds under profile approximation for superconformal wave equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5cymxwkgz8a9t",
  "venue": "arXiv",
  "versions": []
}