{ "id": "math/0509295", "version": "v1", "published": "2005-09-14T01:24:52.000Z", "updated": "2005-09-14T01:24:52.000Z", "title": "Second order backward stochastic differential equations and fully non-linear parabolic PDEs", "authors": [ "Patrick Cheridito", "H. Mete Soner", "Nizar Touzi", "Nicolas Victoir" ], "comment": "26 pages", "categories": [ "math.PR", "math.AP" ], "abstract": "We introduce a class of second order backward stochastic differential equations and show relations to fully non-linear parabolic PDEs. In particular, we provide a stochastic representation result for solutions of such PDEs and discuss Monte Carlo methods for their numerical treatment.", "revisions": [ { "version": "v1", "updated": "2005-09-14T01:24:52.000Z" } ], "analyses": { "subjects": [ "60H10", "35K55", "60H30", "60H35" ], "keywords": [ "second order backward stochastic differential", "order backward stochastic differential equations", "fully non-linear parabolic pdes" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......9295C" } } }