{
  "id": "1701.07984",
  "version": "v1",
  "published": "2017-01-27T09:37:21.000Z",
  "updated": "2017-01-27T09:37:21.000Z",
  "title": "Weak order in averaging principle for stochastic wave equations with a fast oscillation",
  "authors": [
    "Hongbo Fu",
    "Li Wan",
    "Jicheng Liu",
    "Xianming Liu"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This article deals with the weak errors for averaging principle for a stochastic wave equation in a bounded interval $[0,L]$, perturbed by a oscillating term arising as the solution of a stochastic reaction-diffusion equation evolving with respect to the fast time. Under suitable conditions, it is proved that the rate of weak convergence to the averaged effective dynamics is of order $1$ via an asymptotic expansion approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-27T09:37:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic wave equation",
      "averaging principle",
      "weak order",
      "fast oscillation",
      "asymptotic expansion approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}