{ "id": "0912.5060", "version": "v2", "published": "2009-12-29T14:39:50.000Z", "updated": "2010-01-14T02:14:19.000Z", "title": "$L^p$-solutions of Reflected Backward Doubly Stochastic Differential Equations", "authors": [ "Wen Lv" ], "comment": "15 pages", "categories": [ "math.PR" ], "abstract": "In this paper, we deal with a class of one-dimensional reflected backward doubly stochastic differential equations with one continuous lower barrier. We derive the existence and uniqueness of solutions for these equations with Lipschitz coefficients.", "revisions": [ { "version": "v2", "updated": "2010-01-14T02:14:19.000Z" } ], "analyses": { "subjects": [ "60H10" ], "keywords": [ "backward doubly stochastic differential equations", "reflected backward doubly stochastic differential", "one-dimensional reflected backward doubly stochastic", "continuous lower barrier", "lipschitz coefficients" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0912.5060L" } } }