L-P (1 <P < 2) Solutions Of Backward Doubly Stochastic Differential Equations With Locally Monotone Coefficients
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS(2021)
Abstract
The article considers the existence and uniqueness of solutions for backward doubly stochastic differential equations (BDSDEs) under globally (locally) monotone conditions. Some useful and important prior estimates are established. By using truncation method, L-p solutions for BDSDEs under globally monotone assumptions are obtained. With the help of suitable approximation techniques, we derive the existence and uniqueness of L-p solutions for BDSDEs with locally monotone coefficients.
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Key words
Backward doubly stochastic differential equation, locally monotone coefficient, locally Lipschitz condition, L-p solution
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