{ "id": "1711.08167", "version": "v1", "published": "2017-11-22T08:01:19.000Z", "updated": "2017-11-22T08:01:19.000Z", "title": "D-solutions of BSDEs with Poisson jumps", "authors": [ "Imen Hassairi" ], "categories": [ "math.PR" ], "abstract": "In this paper, we study backward stochastic differential equations (BSDEs shortly) with jumps that have Lipschitz generator in a general filtration supporting a Brownian motion and an independent Poisson random measure. Under just integrability on the data we show that such equations admits a unique solution which belongs to class D.", "revisions": [ { "version": "v1", "updated": "2017-11-22T08:01:19.000Z" } ], "analyses": { "keywords": [ "poisson jumps", "independent poisson random measure", "study backward stochastic differential equations", "d-solutions", "general filtration" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }