{ "id": "1810.03404", "version": "v1", "published": "2018-10-08T12:30:57.000Z", "updated": "2018-10-08T12:30:57.000Z", "title": "Reflected BSDEs with monotone generator", "authors": [ "Tomasz Klimsiak" ], "journal": "Electron. J. Probab. 17 (2012) 1-25", "categories": [ "math.PR" ], "abstract": "We give necessary and sufficient condition for existence and uniqueness of $\\mathbb{L}^{p}$-solutions of reflected BSDEs with continuous barrier, generator monotone with respect to $y$ and Lipschitz continuous with respect to $z$, and with data in $\\mathbb{L}^{p}$, $p\\ge 1$. We also prove that the solutions may be approximated by the penalization method.", "revisions": [ { "version": "v1", "updated": "2018-10-08T12:30:57.000Z" } ], "analyses": { "keywords": [ "reflected bsdes", "monotone generator", "sufficient condition", "generator monotone", "penalization method" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }