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math.PR2023★ 1 cited
SDEs with supercritical distributional drifts
Zimo Hao, Xicheng Zhang
Let . In this paper, we investigate the following stochastic differential equation (SDE) in driven by Brownian motion $$ {\rm d} X_t=b(t,X_t){\rm d} t+\sqr…
math.PR2023★ 1 cited
SDE driven by cylindrical -stable process with distributional drift
Zimo Hao, Mingyan Wu
For , we study the following stochastic differential equation driven by a non-degenerate symmetric -stable process in : \begin{align*} {\rm d} X_t=b(t,…
math.AP2023★ 1 cited
Second order fractional mean-field SDEs with singular kernels and measure initial data
Zimo Hao, Michael Röckner, Xicheng Zhang
In this paper we establish the local and global well-posedness of weak and strong solutions to second order fractional mean-field SDEs with singular/distribution interaction kernel…