%0 Journal Article %T Smoothness of Solution for |Backward Stochastic Differential Equation
倒向随机微分方程解的光滑性 %A LIN Qing-Quan %A
林清泉 %J 数学物理学报(A辑) %D 2004 %I %X The author discusses the smoothness of solution for BSDE Y_t=ξ+∫^T_t{g(s,Y_s,Z_s)}ds-∫^T_t{Z_s}dW_s in Malliavin calculus sense.For any \$n\$ the author discusses differentiabilty of n th order in the Malliavin sense for the solution,and it satisfies a linear BSDE, as a result the soluiton for BSDE is smoothness in the sense. %K Backward stochastic differential equation %K Malliavin calculus %K Smoothness
倒向随机微分方程 %K Malliavin微分 %K 光滑性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=8580F75070B18682&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=CA4FD0336C81A37A&sid=7E8E8B150580E4AB&eid=39EEF47180459690&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=10