{
  "id": "1505.04167",
  "version": "v1",
  "published": "2015-05-15T19:11:45.000Z",
  "updated": "2015-05-15T19:11:45.000Z",
  "title": "Intermittency for the wave equation with Lévy white noise",
  "authors": [
    "Raluca M. Balan",
    "Cheikh B. Ndongo"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we consider the stochastic wave equation in dimension 1 driven by the L\\'evy white noise introduced in Balan (2015). Using Rosenthal's inequality, we develop a maximal inequality for the moments of order $p \\geq 2$ of the integral with respect to this noise. Based on this inequality, we show that this equation has a unique solution, which is weakly intermittent in the sense of Foondun and Khoshnevisan (2009) and Khoshnevisan (2014).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-15T19:11:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60G51",
      "37H15"
    ],
    "keywords": [
      "lévy white noise",
      "intermittency",
      "levy white noise",
      "stochastic wave equation",
      "khoshnevisan"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504167B"
    }
  }
}