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math.AP2017★ 5 cited
On weak solutions of stochastic differential equations with sharp drift coefficients
Jinlong Wei, Guangying Lv, Jiang-Lun Wu
We extend Krylov and Röckner's result \cite{KR} to the drift coefficients in critical Lebesgue space, and prove the existence and uniqueness of weak solutions for a class of SDEs.…
math.AP2016★ 3 cited
Maximum principles for nonlocal parabolic Waldenfels operators
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructi…