## Multidimensional Backward Stochastic Differential Equations with Left-Lipschitz Coefficients

J. Math. Sci. Univ. Tokyo
Vol. 20 (2013), No. 1, Page 115–126.

Xu, Yuhong
Multidimensional Backward Stochastic Differential Equations with Left-Lipschitz Coefficients
In this note, we consider multidimensional backward stochastic differential equations with coefficients which are left-Lipschitz w.r.t. $y$ and Lipschitz w.r.t. $z$ and without explicit constraints on the growth. An existence theorem of minimal solution is established in this framework. We also relate it to the hedging problem for interacting economic agents.