%0 Journal Article
%T Reflected Solutions of Backward Doubly Stochastic Differential Equations
%A Weiqiang Yang
%A Yufeng Shi
%A Yangling Gu
%J Mathematics
%D 2008
%I arXiv
%X We study reflected solutions of one-dimensional backward doubly stochastic differential equations (BDSDEs in short). The "reflected" keeps the solution above a given stochastic process. We get the uniqueness and existence by penalization. For the existence of backward stochastic integral, our proof is different from [KKPPQ] slightly. We also obtain a comparison theorem for reflected BDSDEs.
%U http://arxiv.org/abs/0806.0917v2