{
  "id": "0801.3883",
  "version": "v1",
  "published": "2008-01-25T06:09:51.000Z",
  "updated": "2008-01-25T06:09:51.000Z",
  "title": "Smooth Solutions of Non-linear Stochastic Partial Differential Equations",
  "authors": [
    "Xicheng Zhang"
  ],
  "comment": "26Pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In this paper, we study the regularities of solutions of nonlinear stochastic partial differential equations in the framework of Hilbert scales. Then we apply our general result to several typical nonlinear SPDEs such as stochastic Burgers and Ginzburg-Landau's equations on the real line, stochastic 2D Navier-Stokes equations in the whole space and a stochastic tamed 3D Navier-Stokes equation in the whole space, and obtain the existence of their respectively smooth solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-25T06:09:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35R60"
    ],
    "keywords": [
      "non-linear stochastic partial differential equations",
      "smooth solutions",
      "nonlinear stochastic partial differential equations",
      "stochastic tamed 3d navier-stokes equation",
      "stochastic 2d navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3883Z"
    }
  }
}