{
  "id": "1003.4760",
  "version": "v3",
  "published": "2010-03-24T21:42:06.000Z",
  "updated": "2012-02-27T20:32:23.000Z",
  "title": "Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent",
  "authors": [
    "Azer Khanmamedov"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "In this paper the long time behaviour of the solutions of 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H_{0}^{1}(\\Omega)\\times L_{2}(\\Omega) and then it is proved that this global attractor is a bounded subset of H^{2}(\\Omega)\\times H^{2}(\\Omega) and also a global attractor in H^{2}(\\Omega)\\cap H_{0}^{1}(\\Omega)\\times H_{0}^{1}(\\Omega).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-02-27T20:32:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B41",
      "35L05",
      "35L75"
    ],
    "keywords": [
      "strongly damped wave equation",
      "global attractor",
      "nonlinear source term",
      "displacement dependent damping",
      "critical exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.4760K"
    }
  }
}