{
  "id": "1912.06620",
  "version": "v1",
  "published": "2019-12-13T17:33:01.000Z",
  "updated": "2019-12-13T17:33:01.000Z",
  "title": "Propagation of Singularities for the Stochastic Wave Equation",
  "authors": [
    "Cheuk Yin Lee",
    "Yimin Xiao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the existence and propagation of singularities of the solution to a one-dimensional stochastic wave equation (SWE) driven by an additive Gaussian noise that is white in time and colored in space. Our approach is based on general methods for Gaussian processes and the relation between the solution of SWE and the fractional Brownian sheet.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-13T17:33:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "propagation",
      "singularities",
      "one-dimensional stochastic wave equation",
      "fractional brownian sheet",
      "gaussian processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}