[COLLOQUIUM] Uniqueness of mild and distributional solutions to nonlinear Fokker-Planck equations

Under suitable assumptions on diffusion and drift term the nonlinear Fokker-Planck equation $$u_t - \Delta\beta(u) + div (D(x)b(u) u)=0;  u(0)=u_0$$ has a unique mild and distributional solution. This implies the uniqueness of probabilistically weak solutions to corresponding McKean-Vlasov equations. This is a joint research with M.Roeckner from Bielefeld University.

报告人简介：
Viorel Barbu教授，欧洲科学院院士，罗马尼亚科学院院士，"Al. I. Cuza" 大学教授，曾任罗马尼亚科学院副主席，获罗马尼亚科学院Simion Stoilow奖。主要从事偏微分方程，无穷维随机分析，控制理论等研究。