{
  "id": "1008.4219",
  "version": "v1",
  "published": "2010-08-25T07:25:38.000Z",
  "updated": "2010-08-25T07:25:38.000Z",
  "title": "Finite time blow-up for a wave equation with a nonlocal nonlinearity",
  "authors": [
    "Ahmad Fino",
    "Mokhtar Kirane",
    "Vladimir Georgiev"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on the dimensional space, the initial data and the nonlinear forcing term.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-25T07:25:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite time blow-up",
      "wave equation",
      "nonlocal nonlinearity",
      "local existence",
      "time nonlinearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.4219F"
    }
  }
}