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Harnack Inequality and Applications for Stochastic Retarded Differential Equations Driven by Fractional Brownian Motion

Harnack Inequality and Applications for Stochastic Retarded Differential Equations Driven by Fractional Brownian Motion
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摘要 In this paper, by using a semimartingale approximation of a fractional stochastic integration, the global Harnack inequalities for stochastic retarded differential equations driven by fractional Brownian motion with Hurst parameter 0 〈 H 〈 1 are established. As applications, strong Feller property, log-Harnack inequality and entropycost inequality are given.
出处 《Journal of Partial Differential Equations》 CSCD 2017年第1期84-94,共11页 偏微分方程(英文版)
基金 This research is partially supported by the NNSF of China (No. 61273179) and Natural Science Foundation of Hubei Province (No. 2016CFB479).
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