SMALLEST g-SUPERSOLUTION FOR BSDE WITH CONTINUOUS DRIFT COEFFICIENTS

Citation:

LIN Qingquan,PENG Shige.SMALLEST g-SUPERSOLUTION FOR BSDE WITH CONTINUOUS DRIFT COEFFICIENTS[J].Chinese Annals of Mathematics B,2000,21(3):359~366
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Authors:

LIN Qingquan; PENG Shige

Foundation:

Project supported by the National Natural Science Foundation of China (No.79790130).
Abstract: The authors prove the existence and uniqueness of smallest g-supersolution with an equality constraint on (y, z) for one demensional stochastic differential equations whose drift coefficients are continuous and linearly growing, and whose terminal conditions are square integrable.

Keywords:

Backward stochastic differentail equation, g-supersolution, Constraint

Classification:

60H10
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