{
  "id": "1707.09583",
  "version": "v1",
  "published": "2017-07-30T06:13:35.000Z",
  "updated": "2017-07-30T06:13:35.000Z",
  "title": "Blow-up for semilinear damped wave equations with sub-Strauss and Strauss exponent in the scattering case",
  "authors": [
    "Ning-An Lai",
    "Hiroyuki Takamura"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "It is well-known that the critical exponent for semilinear damped wave equations is Fujita exponent when the damping is effective. Recently, Lai, Takamura and Wakasa have obtained a blow-up result not only for the bigger one but also for the one closely related to Strauss exponent when the damping is scaling invariant and its constant is relatively small. Introducing a multiplier for the time-derivative of the spatial integral of unknown functions, we succeed in employing the technics on the analysis for semilinear wave equations and proving a blow-up result for semilinear damped wave equations with sub-Strauss and Strauss exponent when the damping is in the scattering range.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-30T06:13:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L71",
      "35B44"
    ],
    "keywords": [
      "semilinear damped wave equations",
      "strauss exponent",
      "scattering case",
      "sub-strauss",
      "blow-up result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}