{
  "id": "0805.0294",
  "version": "v1",
  "published": "2008-05-02T19:23:44.000Z",
  "updated": "2008-05-02T19:23:44.000Z",
  "title": "A Khasminskii type averaging principle for stochastic reaction-diffusion equations",
  "authors": [
    "Sandra Cerrai"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that an averaging principle holds for a general class of stochastic reaction-diffusion systems, having unbounded multiplicative noise, in any space dimension. We show that the classical Khasminskii approach for systems with a finite number of degrees of freedom can be extended to infinite dimensional systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-02T19:23:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "70K65",
      "37L40"
    ],
    "keywords": [
      "khasminskii type averaging principle",
      "stochastic reaction-diffusion equations",
      "infinite dimensional systems",
      "stochastic reaction-diffusion systems",
      "classical khasminskii approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.0294C"
    }
  }
}