{
  "id": "1404.4456",
  "version": "v1",
  "published": "2014-04-17T08:59:11.000Z",
  "updated": "2014-04-17T08:59:11.000Z",
  "title": "Exponential stability of the wave equation with memory and time delay",
  "authors": [
    "Fatiha Alabau-Boussouira",
    "Serge Nicaise",
    "Cristina Pignotti"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time delay term is small enough.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-17T08:59:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wave equation",
      "exponential stability",
      "time delay term",
      "asymptotic behaviour",
      "viscoelastic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.4456A"
    }
  }
}