{
  "id": "0902.4324",
  "version": "v1",
  "published": "2009-02-25T09:31:35.000Z",
  "updated": "2009-02-25T09:31:35.000Z",
  "title": "A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class",
  "authors": [
    "Michael Röckner",
    "Yi Wang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This note deals with existence and uniqueness of (variational) solutions to the following type of stochastic partial differential equations on a Hilbert space H dX(t) = A(t,X(t))dt + B(t,X(t))dW(t) + h(t) dG(t) where A and B are random nonlinear operators satisfying monotonicity conditions and G is an infinite dimensional Gaussian process adapted to the same filtration as the cylindrical Wiener pocess W(t), t >= 0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-25T09:31:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "variational solutions",
      "general class",
      "gaussian noise",
      "dimensional gaussian process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4324R"
    }
  }
}