{
  "id": "0904.3305",
  "version": "v2",
  "published": "2009-04-21T17:54:25.000Z",
  "updated": "2010-03-16T04:59:39.000Z",
  "title": "Large Deviation Principle for Semilinear Stochastic Evolution Equations with Monotone Nonlinearity and Multiplicative Noise",
  "authors": [
    "Hassan Dadashi-Arani",
    "Bijan Z. Zangeneh"
  ],
  "comment": "23 pages",
  "journal": "Differential and Integral Equations, 2010",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We demonstrate the large deviation property for the mild solutions of stochastic evolution equations with monotone nonlinearity and multiplica- tive noise. This is achieved using the recently developed weak convergence method, in studying the large deviation principle. An It^o-type inequality is a main tool in the proofs. We also give two examples to illustrate the applications of the theorems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-16T04:59:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "60H20"
    ],
    "keywords": [
      "semilinear stochastic evolution equations",
      "large deviation principle",
      "monotone nonlinearity",
      "multiplicative noise",
      "large deviation property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3305D"
    }
  }
}