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Elliptic Equations Associated with Brownian Motion with Singular Drift

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摘要 In this paper,we first obtain the existence and uniqueness of solution u of elliptic equation associated with Brownian motion with singular drift.We then use the regularity of the weak solution u and the Zvonkin-type transformation to show that there is a unique weak solution to a stochastic differential equation when the drift is a measurable function.
出处 《Communications in Mathematics and Statistics》 SCIE 2022年第1期101-122,共22页 数学与统计通讯(英文)
基金 This work is partly supported by National Natural Science Foundation of China(No.11671372,No.11721101,No.11971456) the Fundamental Research Funds for the Central Universities,China(No.WK0010000057).
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