{
  "abstract": "In the present paper, we proceed with the research initiated in (S. Antontsev \\emph{et al.}, Inverse Problems, 2021). We study the inverse problem for the Kelvin--Voigt equations with $p$-Laplacian and with a right-hand side in the integral over-determination condition, which approximates a discontinuous function at $t=0$. We rescale the problem in a neighbourhood $[0,1/n]$ and pass to the limit as $n$ approaches infinity. This leads to the inverse problem on an infinitesimal initial layer, which transforms the initial velocity into a new one.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27950",
  "author_total": 3,
  "authors": [
    {
      "name": "Stanislav Antontsev"
    },
    {
      "name": "Pardeep Kumar"
    },
    {
      "name": "Ivan Kuznetsov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d0cqdm9hw2w6d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27950",
  "fulltext_url": null,
  "id": "d0cqdm9hw2w6d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27950",
  "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|Differential Equations and Boundary Problems"
    ]
  ],
  "openalex": "W7223124559",
  "pdf_url": "https://arxiv.org/pdf/2610.27950",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d0cqdm9hw2w6d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.27950",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27950"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Kurzweil's impulsive inverse problem for the Kelvin--Voigt equations with $p$-Laplacian",
  "title_text": "Kurzweil's impulsive inverse problem for the Kelvin--Voigt equations with p-Laplacian",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/d0cqdm9hw2w6d",
  "venue": "arXiv",
  "versions": []
}