Abstract
Suppose N is a compact Riemannian manifold, in this paper we will introduce the definition of N-valued BSDE and L2(Tm;N)-valued BSDE for which the solutions are not necessarily staying in only one local coordinate. Moreover, the global existence of a solution to L2(Tm;N)-valued BSDE will be proved without any convexity condition on N.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have