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A Class of Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients

Probability 2010-05-17 v1

Abstract

In this work the existence of solutions of one-dimensional backward dou- bly stochastic differential equations (BDSDEs in short) where the coefficient is left-Lipschitz in y (may be discontinuous) and Lipschitz in z is studied. Also, the associated comparison theorem is obtained.

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Cite

@article{arxiv.1005.2500,
  title  = {A Class of Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients},
  author = {Qingfeng Zhu and Yufeng Shi},
  journal= {arXiv preprint arXiv:1005.2500},
  year   = {2010}
}

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15 pages