{
  "id": "1701.03232",
  "version": "v1",
  "published": "2017-01-12T05:08:00.000Z",
  "updated": "2017-01-12T05:08:00.000Z",
  "title": "Blow-up for semilinear wave equations with the scale invariant damping and super Fujita exponent",
  "authors": [
    "Ning-An Lai",
    "Hiroyuki Takamura",
    "Kyouhei Wakasa"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The constant in the scale invariant damping may have a critical value classifying the situation on semilinear wave equations to \"heat-like\", or to \"wave-like\". In this paper, we prove a new blow-up result for super Fujita exponent to show that such a critical value has a lower bound which grows up by space dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-12T05:08:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L71",
      "35B44"
    ],
    "keywords": [
      "semilinear wave equations",
      "super fujita exponent",
      "scale invariant damping",
      "critical value",
      "blow-up result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}