{
  "id": "2103.03746",
  "version": "v1",
  "published": "2021-03-05T15:22:10.000Z",
  "updated": "2021-03-05T15:22:10.000Z",
  "title": "On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime",
  "authors": [
    "Kimitoshi Tsutaya",
    "Yuta Wakasugi"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2103.01219, arXiv:2103.00175",
  "categories": [
    "math.AP"
  ],
  "abstract": "Consider nonlinear wave equations in the spatially flat Friedmann-Lema\\^itre-Robertson-Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey's conjecture for the time derivative nonlinearity. We also show blow-up results for the space time derivative nonlinearity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-05T15:22:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L70",
      "35P25"
    ],
    "keywords": [
      "semilinear wave equations",
      "glasseys conjecture",
      "friedmann-lemaître-robertson-walker spacetime",
      "space time derivative nonlinearity",
      "nonlinear wave equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}