Title：Almost preservation of Log-Sobolev inequalities under BBM Flow

Speaker：夏 波  （中山大学）

Time：2018年8月3日   上午  9:00-10:00

Room：东区管理科研楼  数学科学学院1418室

Abstract：In this talk, we first construct a Gaussian measure on an L^2-based Sobolev space with regularity index in some regime. In this case, we have the natural dimension-free Log-Sobolev inequality. Then, upon establishing the dynamics of the BBM equation in this space, we discuss the preservation of inequalities of this type under this dynamics.