{ "id": "1005.2500", "version": "v1", "published": "2010-05-14T11:18:16.000Z", "updated": "2010-05-14T11:18:16.000Z", "title": "A Class of Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients", "authors": [ "Qingfeng Zhu", "Yufeng Shi" ], "comment": "15 pages", "categories": [ "math.PR" ], "abstract": "In this work the existence of solutions of one-dimensional backward dou- bly stochastic differential equations (BDSDEs in short) where the coefficient is left-Lipschitz in y (may be discontinuous) and Lipschitz in z is studied. Also, the associated comparison theorem is obtained.", "revisions": [ { "version": "v1", "updated": "2010-05-14T11:18:16.000Z" } ], "analyses": { "subjects": [ "60H10", "60H05" ], "keywords": [ "backward doubly stochastic differential equations", "discontinuous coefficients", "associated comparison theorem" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1005.2500Z" } } }