{
  "id": "2112.01015",
  "version": "v2",
  "published": "2021-12-02T06:58:49.000Z",
  "updated": "2022-04-02T06:39:27.000Z",
  "title": "Semilinear wave equations of derivative type with spatial weights in one space dimension",
  "authors": [
    "Shunsuke Kitamura",
    "Katsuaki Morisawa",
    "Hiroyuki Takamura"
  ],
  "comment": "16 pages. Minor errors and typos are revised",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classical solutions are quite different from those for nonlinearity of unknown function itself as the global-in-time existence can be established by spatial decay.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-04-02T06:39:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L71",
      "35B44"
    ],
    "keywords": [
      "semilinear wave equations",
      "space dimension",
      "spatial weights",
      "derivative type",
      "initial value problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}