{
  "id": "2104.08497",
  "version": "v1",
  "published": "2021-04-17T09:39:58.000Z",
  "updated": "2021-04-17T09:39:58.000Z",
  "title": "Lifespan estimates for wave equation with damping and potential posed on asymptotically Euclidean manifolds",
  "authors": [
    "Mengyun Liu"
  ],
  "comment": "10pages. arXiv admin note: substantial text overlap with arXiv:1912.02561",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work, we investigate the problem of finite time blow up as well as the upper bound estimates of lifespan for solutions to small-amplitude semilinear wave equations with time dependent damping and potential, and mixed nonlinearities $c_1 |u_t|^p+c_2 |u|^q$, posed on asymptotically Euclidean manifolds, which is related to both the Strauss conjecture and the Glassey conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-17T09:39:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J05",
      "35L71",
      "35B40",
      "35B33",
      "35B44",
      "35B09",
      "35L05"
    ],
    "keywords": [
      "asymptotically euclidean manifolds",
      "lifespan estimates",
      "small-amplitude semilinear wave equations",
      "finite time blow",
      "upper bound estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}