{ "id": "1011.3221", "version": "v1", "published": "2010-11-14T12:12:26.000Z", "updated": "2010-11-14T12:12:26.000Z", "title": "Reflected backward doubly stochastic differential equations with discontinuous generator", "authors": [ "Auguste Aman", "Jean Marc Owo" ], "comment": "11 pages", "categories": [ "math.PR" ], "abstract": "In this note, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous generator (left-or right-continuous). By a comparison theorem establish here for RBDSDEs, we provide a minimal or a maximal solution to RBDSDEs", "revisions": [ { "version": "v1", "updated": "2010-11-14T12:12:26.000Z" } ], "analyses": { "subjects": [ "60H15", "60H20" ], "keywords": [ "backward doubly stochastic differential equations", "reflected backward doubly stochastic differential", "discontinuous generator", "one-dimensional reflected backward doubly" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.3221A" } } }