Speaker: Liu Zhenxin, Professor, School of Mathematical Sciences, Dalian University of Technology

Date: October 28, 2022

Time: 16:00-17:00

Location: Tencent Meeting

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we will discuss existence and uniqueness of solutions as well as existence of and exponential convergence to invariant measures for McKean-Vlasov stochastic differential equations with Markovian switching. Since the coefficients are only locally Lipschitz, we need to truncate them both in space and distribution variables simultaneously to get the global existence of solutions under the Lyapunov condition. Furthermore, if the Lyapunov condition is strengthened, we establish the exponential convergence of solutions' distributions to the unique invariant measure in Wasserstein quasi-distance and total variation distance, respectively. This is a joint work with Jun Ma.

For more information, please visit:

https://view.sdu.edu.cn/info/1020/171111.htm