{ "id": "math/0603428", "version": "v1", "published": "2006-03-17T13:52:40.000Z", "updated": "2006-03-17T13:52:40.000Z", "title": "Differentiability of backward stochastic differential equations in Hilbert spaces with monotone generators", "authors": [ "Philippe Briand", "Fulvia Confortola" ], "journal": "Applied Mathematics and Optimization 57, 2 (2008) 149-176", "doi": "10.1007/s00245-007-9014-9", "categories": [ "math.PR" ], "abstract": "The aim of the present paper is to study the regularity properties of the solution of a backward stochastic differential equation with a monotone generator in infinite dimension. We show some applications to the nonlinear Kolmogorov equation and to stochastic optimal control.", "revisions": [ { "version": "v1", "updated": "2006-03-17T13:52:40.000Z" } ], "analyses": { "subjects": [ "60H10" ], "keywords": [ "backward stochastic differential equation", "monotone generator", "hilbert spaces", "differentiability", "nonlinear kolmogorov equation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......3428B" } } }