{
  "id": "1706.07174",
  "version": "v1",
  "published": "2017-06-22T06:13:41.000Z",
  "updated": "2017-06-22T06:13:41.000Z",
  "title": "Asymptotic profile of solutions for some wave equations with very strong structural damping",
  "authors": [
    "Ryo Ikehata",
    "Shin Iyota"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Cauchy problem in R^n for some types of damped wave equations. We derive asymptotic profiles of solutions with weighted L^{1,1}(R^n) initial data by employing a simple method introduced by the first author. The obtained results will include regularity loss type estimates, which are essentially new in this kind of equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-22T06:13:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L15",
      "35L05",
      "35B40",
      "35B65"
    ],
    "keywords": [
      "wave equations",
      "strong structural damping",
      "regularity loss type estimates",
      "initial data",
      "simple method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}