{
  "id": "2211.10639",
  "version": "v1",
  "published": "2022-11-19T10:04:17.000Z",
  "updated": "2022-11-19T10:04:17.000Z",
  "title": "Blow up and lifespan estimates for systems of semi-linear wave equations with damping and potential",
  "authors": [
    "Mengliang Liu"
  ],
  "comment": "21 pages. arXiv admin note: substantial text overlap with arXiv:2209.02920",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the semi-linear wave systems with power-nonlinearities and a large class of space-dependent damping and potential. We obtain the same blow-up regions and the lifespan estimates for three types wave systems, compared with the systems without damping and potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-19T10:04:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J45",
      "58J05",
      "35L71",
      "35B40",
      "35B33",
      "35B44",
      "35B09",
      "35L05"
    ],
    "keywords": [
      "semi-linear wave equations",
      "lifespan estimates",
      "semi-linear wave systems",
      "types wave systems",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}