Well-Posedness for SDEs with Logarithmical Critical Distributional Drifts

Zikai Chen, Zimo Hao, Xicheng Zhang

We study the stochastic differential equation $$d{X}_t=b(t,X_t)dt+\sqrt{2}d{W}_t$$ on ${\mathbb{R}}^d$, where $b$ is a time-dependent, divergence-free distributional drift of critical…