One barrier reflected backward doubly stochastic differential equations with discontinuous monotone coefficients
In this paper, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous (left or right continuous) monotone generator. An existence theorem and a comparison theorem for solutions of the class of RBDSDEs are established. Some known results are extended.
Volume (Year): 82 (2012)
Issue (Month): 10 ()
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- Lin, Qian, 2009. "A class of backward doubly stochastic differential equations with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2223-2229, October.
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