{
  "id": "1610.05913",
  "version": "v1",
  "published": "2016-10-19T08:50:54.000Z",
  "updated": "2016-10-19T08:50:54.000Z",
  "title": "The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions",
  "authors": [
    "Takuto Imai",
    "Masakazu Kato",
    "Hiroyuki Takamura",
    "Kyouhei Wakasa"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to a proof of the conjecture in Takamura(2015) on the lower bound of the lifespan of solutions to semilinear wave equations in two space dimensions. The result is divided into two cases according to the total integral of the initial speed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-19T08:50:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L71",
      "35A01",
      "35E15"
    ],
    "keywords": [
      "semilinear wave equations",
      "sharp lower bound",
      "space dimensions",
      "low powers",
      "total integral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}