{
  "id": "0801.1830",
  "version": "v1",
  "published": "2008-01-11T19:50:12.000Z",
  "updated": "2008-01-11T19:50:12.000Z",
  "title": "Freidlin-Wentzell's Large Deviations for Stochastic Evolution Equations",
  "authors": [
    "Jiagang Ren",
    "Xicheng Zhang"
  ],
  "comment": "17Pages",
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "We prove a Freidlin-Wentzell large deviation principle for general stochastic evolution equations with small perturbation multiplicative noises. In particular, our general result can be used to deal with a large class of quasi linear stochastic partial differential equations, such as stochastic porous medium equations and stochastic reaction diffusion equations with polynomial growth zero order term and $p$-Laplacian second order term.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-11T19:50:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic evolution equations",
      "freidlin-wentzells large deviations",
      "stochastic partial differential equations",
      "polynomial growth zero order term",
      "quasi linear stochastic partial differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}