{
  "id": "2205.06222",
  "version": "v1",
  "published": "2022-05-12T17:07:02.000Z",
  "updated": "2022-05-12T17:07:02.000Z",
  "title": "Nonlinear BSDEs with two optional Doob's class barriers satisfying weak Mokobodzki's condition and extended Dynkin games",
  "authors": [
    "Tomasz Klimsiak",
    "Maurycy Rzymowski"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study reflected backward stochastic differential equations on the Brownian filtration with two optional barriers of class (D) satisfying weak Mokobodzki's condition. We prove an existence and uniqueness result in case of integrable data. We also show a relation between the main component of a solution to RBSDE and the value process in corresponding extended nonlinear Dynkin game.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T17:07:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynkin game",
      "barriers satisfying weak mokobodzkis condition",
      "doobs class barriers satisfying weak",
      "class barriers satisfying weak mokobodzkis",
      "optional doobs class barriers satisfying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}