{
  "abstract": "In this article, we study the viscoelastic wave equation with a localized history memory term, and without frictional damping. Under the geometric control condition on the memory region, we prove exponential decay of the viscoelastic energy using the Gearhart-Prüss-Huang Theorem. We prove in high frequency that a loss of derivative is compensated by a decay in frequency.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2610.06281",
  "author_total": 1,
  "authors": [
    {
      "name": "Ludovick Gagnon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a6j9q2djpntn0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06281",
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  "id": "a6j9q2djpntn0",
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  "landing_url": "https://hal.science/hal-05773554v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
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  "pdf_url": "https://hal.science/hal-05773554/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a6j9q2djpntn0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:45Z",
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      "url": "https://hal.science/hal-05773554v1"
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      "native_id": "2610.06281",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06281"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Note on the Exponential Stability of the Viscoelastic Wave Equation",
  "title_text": "Note on the Exponential Stability of the Viscoelastic Wave Equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/a6j9q2djpntn0",
  "venue": "HAL",
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}