{
  "id": "2008.02088",
  "version": "v1",
  "published": "2020-08-05T12:42:48.000Z",
  "updated": "2020-08-05T12:42:48.000Z",
  "title": "Higher regularity and finite time blow-up to nonlocal pseudo-parabolic equation with conical degeneration",
  "authors": [
    "Guangyu Xu"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper deals with the initial-boundary value problem to a nonlocal semilinear pseudo-parabolic equation with conical degeneration. Firstly, we improve the regularity of weak solution and amend some proofs in [Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration, J. Differential Equations, 2020, 269(5): 4566--4597]. Secondly, we study finite time blow-up of the weak solution, our initial condition only depends on Nehari functional and conservative integral and then improves the result in original paper under high initial energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-05T12:42:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlocal pseudo-parabolic equation",
      "conical degeneration",
      "higher regularity",
      "nonlocal semilinear pseudo-parabolic equation",
      "study finite time blow-up"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}