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科学研究
报告题目:

McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance

报告人:

黄兴 教授(天津大学)

报告时间:

报告地点:

腾讯会议 ID:499 754 904会议密码:123456

报告摘要:

Existence and uniqueness are proved for McKean-Vlasov type distribution dependent SDEs with singular drifts satisfying an integrability condition in space variable and the Lipschitz condition in distribution variable with respect to $\W_0$ or $\W_0+\W_\theta$ for some $\theta\ge 1$, where $\W_0$ is the total variation distance and $\W_\theta$ is the $L^\theta$-Wasserstein distance. This improves some existing results derived for drifts continuous in the distribution variable with respect to the Wasserstein distance.