{
  "id": "math/0703260",
  "version": "v2",
  "published": "2007-03-09T12:57:01.000Z",
  "updated": "2008-01-10T23:53:07.000Z",
  "title": "On Stochastic Evolution Equations with non-Lipschitz Coefficients",
  "authors": [
    "Xicheng Zhang"
  ],
  "comment": "Add two applications and correct some errors",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In this paper, we study the existence and uniqueness of solutions for several classes of stochastic evolution equations with non-Lipschitz coefficients, that is, backward stochastic evolution equations, stochastic Volterra type evolution equations and stochastic functional evolution equations. In particular, the results can be used to treat a large class of quasi-linear stochastic equations, which includes the reaction diffusion and porous medium equations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-10T23:53:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15"
    ],
    "keywords": [
      "non-lipschitz coefficients",
      "stochastic volterra type evolution equations",
      "stochastic functional evolution equations",
      "backward stochastic evolution equations",
      "quasi-linear stochastic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3260Z"
    }
  }
}