{
  "id": "1807.05908",
  "version": "v1",
  "published": "2018-07-16T15:03:49.000Z",
  "updated": "2018-07-16T15:03:49.000Z",
  "title": "Global existence for semilinear damped wave equations in relation with the Strauss conjecture",
  "authors": [
    "Mengyun Liu",
    "Chengbo Wang"
  ],
  "comment": "12 pages, no figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on $n$ dimensional nontrapping asymptotically Euclidean manifolds, when $n=3, 4$. In addition, we prove almost global existence with sharp lower bound of the lifespan for the four dimensional critical problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-16T15:03:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L15",
      "35L71",
      "35B33",
      "58J45"
    ],
    "keywords": [
      "semilinear damped wave equations",
      "global existence",
      "strauss conjecture",
      "general lower order terms",
      "dimensional nontrapping asymptotically euclidean manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}