{ "id": "1608.08926", "version": "v1", "published": "2016-08-31T16:21:01.000Z", "updated": "2016-08-31T16:21:01.000Z", "title": "Reflected BSDEs with regulated trajectories", "authors": [ "Tomasz Klimsiak", "Maurycy Rzymowski", "Leszek Słomiński" ], "categories": [ "math.PR" ], "abstract": "We consider reflected backward stochastic different equations with optional barrier and so-called regulated trajectories, i.e trajectories with left and right finite limits. We prove existence and uniqueness results. We also show that the solution may be approximated by a modified penalization method. Application to an optimal stopping problem is given.", "revisions": [ { "version": "v1", "updated": "2016-08-31T16:21:01.000Z" } ], "analyses": { "keywords": [ "regulated trajectories", "reflected bsdes", "right finite limits", "modified penalization method", "uniqueness results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }