{ "id": "1205.6737", "version": "v2", "published": "2012-05-30T15:58:38.000Z", "updated": "2012-10-04T15:41:42.000Z", "title": "L^p solutions of reflected BSDEs under monotonicity condition", "authors": [ "Andrzej Rozkosz", "Leszek Slominski" ], "comment": "The article is slightly revised, results unchanged", "journal": "Stochastic Proces. Appl. 122 (2012) 3875-3900", "doi": "10.1016/j.spa.2012.07.006", "categories": [ "math.PR" ], "abstract": "We prove existence and uniqueness of L^p solutions of reflected backward stochastic differential equations with p-integrable data and generators satisfying the monotonicity condition. We also show that the solution may be approximated by the penalization method. Our results are new even in the classical case p=2.", "revisions": [ { "version": "v2", "updated": "2012-10-04T15:41:42.000Z" } ], "analyses": { "subjects": [ "60H10" ], "keywords": [ "monotonicity condition", "reflected bsdes", "reflected backward stochastic differential equations", "penalization method", "p-integrable data" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.6737R" } } }