{
  "id": "1807.02403",
  "version": "v1",
  "published": "2018-07-06T13:31:15.000Z",
  "updated": "2018-07-06T13:31:15.000Z",
  "title": "Global existence for the 3-D semilinear damped wave equations in the scattering case",
  "authors": [
    "Yige Bai",
    "Mengyun Liu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the global existence of solutions to semilinear damped wave equations in the scattering case with derivative power-type nonlinearity on (1+3) dimensional nontrapping asymptotically Euclidean manifolds. The main idea is to exploit local energy estimate, together with local existence to convert the parameter $\\mu$ to small one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-06T13:31:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L15",
      "35L71"
    ],
    "keywords": [
      "semilinear damped wave equations",
      "global existence",
      "scattering case",
      "exploit local energy estimate",
      "dimensional nontrapping asymptotically euclidean manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}