报告题目：Existence, uniqueness and ergodicity for McKean-Vlasov SDEs under distribution-dependent Lyapunov conditions

报 告 人：马俊，东北师范大学博士后

主 持 人：王文鹤

时 间：2025年11月20日14：00

地 点：正心楼1314室

主办单位：长春大学数学与统计学院

摘要：In this talk, we prove the existence and uniqueness of solutions as well as ergodicity for McKean-Vlasov SDEs under Lyapunov conditions, where the Lyapunov functions depend not only on space variable but also on distribution variable. We apply the martingale representation theorem and a modified Yamada-Watanabe theorem to obtain the existence and uniqueness of solutions. Furthermore, the Krylov-Bogolioubov theorem is used to get ergodicity since it is valid by linearity of the corresponding Fokker-Planck equations on R^d×P_2(R^d).

报告人简介：马俊，理学博士。主要从事随机动力系统研究，于《J. Differential Equations》和《Discrete Contin. Dyn. Syst. Ser. S》等学术刊物发表论文，主持国家自然科学基金项目一项。