{
  "id": "1011.3071",
  "version": "v2",
  "published": "2010-11-12T23:26:00.000Z",
  "updated": "2011-08-03T12:39:51.000Z",
  "title": "Multivalued stochastic Dirichlet-Neumann problems and generalized backward doubly stochastic differential equations",
  "authors": [
    "Yong Ren",
    "Qing Zhou",
    "Auguste Aman"
  ],
  "comment": "This version has been greatly improved, especially Section 5, and has been submitted for publication",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, a class of generalized backward doubly stochastic differential equations whose coefficient contains the subdifferential operators of two convex functions (also called generalized backward doubly stochastic variational inequalities) are considered. By means of a penalization argument based on Yosida approximation, we establish the existence and uniqueness of the solution. As an application, this result is used to derive existence result of stochastic viscosity solution for a class of multivalued stochastic Dirichlet-Neumann problems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-03T12:39:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60H20"
    ],
    "keywords": [
      "backward doubly stochastic differential equations",
      "generalized backward doubly stochastic differential",
      "multivalued stochastic dirichlet-neumann problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.3071R"
    }
  }
}