偏微分方程研讨班：Entropy Estimate Between Diffusion Processes and Application to McKean-Vlasov SDEs

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Panpan Ren (City University of Hong Kong)

题  目：Entropy Estimate Between Diffusion Processes and Application to McKean-Vlasov SDEs

时  间：2024.01.04（星期四）16:00-17:00

地  点：Zoom ID: 924 888 5804 Passcode: AMSS2022

摘 要：In this talk, we will introduce a new technique which is called the bi- coupling argument to estimate the relative entropy between different diffusion processes in terms of the distances of initial distributions and drift-diffusion coefficients. As an application, the log-Harnack inequality is established for singular McKean-Vlasov SDEs and nonlinear Kinetic Fokker-Planck equations, which appears for the first time in the literature.