{
  "abstract": "In this paper, we prove the absence of the Lavrentiev phenomenon for a general class of parabolic double phase functionals with Orlicz growth. The energy density is given by $$ G(|Dw|)+a(x,t)H(|Dw|), $$ where $G$ and $H$ are Young functions satisfying the $Δ_2$ and $\\nabla_2$ conditions with $G\\prec H$, and $a(\\cdot)$ is a continuous nonnegative coefficient. Under suitable balance conditions between the growth gap of $G$ and $H$ and the modulus of continuity of $a(\\cdot)$, we show that every finite-energy map can be approximated locally by smooth functions without loss of energy. The result extends the known parabolic double phase theory from power type growth to a broad Young function framework and identifies the natural space-time Orlicz energy class for the problem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29085",
  "author_total": 2,
  "authors": [
    {
      "name": "Youngchae Kim"
    },
    {
      "name": "Jehan Oh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5cfsm3s38ytke.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29085",
  "fulltext_url": null,
  "id": "5cfsm3s38ytke",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29085",
  "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": "W7204905876",
  "pdf_url": "https://arxiv.org/pdf/2608.29085",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5cfsm3s38ytke.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29085",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29085"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Absence of the Lavrentiev phenomenon for a general class of parabolic double phase problems",
  "title_text": "Absence of the Lavrentiev phenomenon for a general class of parabolic double phase problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/5cfsm3s38ytke",
  "venue": "arXiv",
  "versions": []
}