天元讲堂（1.16）：A uniform relative version of the flowbox theorem I
报告题目：A uniform relative version of the flowbox theorem I
报告人 文晓（北京航天航空大学）
报告时间 2018年1月16日09:30-10:30
报告地点 维格堂319
报告摘要 In this talk, I will introduce a flowbox theorem for the Lipschitz vector fields on a Banach space. We will show that if $X$ is a Lipschitz vector field with a Lipschitz constant $L$, then there is a constant $r_0$ associated to $L$ only such that for any regular point $x$ of $X$, there is a flowbox with size $r_0/|X(x)/|$, and the Lipschitz constants of the respected lipeomorphism in the flowbox theorem has a uniform bound.
报告题目：A uniform relative version of the flowbox theorem II
报告人 文晓（北京航天航空大学）
报告时间 2018年1月16日10:30-11:30
报告地点 维格堂319
报告摘要 In this talk, we will revisit the notion of sectional Poincar/e maps. We will use the notion of flowbox to give the definition of the sectional Poincar/'e maps of a $C^1$ vector filed and then prove the "uniform properties" of the sectional Poincar/'e maps which have been found by Liao, Gan-Yang by another way which is different from standard equations or holonomy maps generated by flow arcs.
报告人 文晓（北京航天航空大学）
报告时间 2018年1月16日09:30-10:30
报告地点 维格堂319
报告摘要 In this talk, I will introduce a flowbox theorem for the Lipschitz vector fields on a Banach space. We will show that if $X$ is a Lipschitz vector field with a Lipschitz constant $L$, then there is a constant $r_0$ associated to $L$ only such that for any regular point $x$ of $X$, there is a flowbox with size $r_0/|X(x)/|$, and the Lipschitz constants of the respected lipeomorphism in the flowbox theorem has a uniform bound.
报告题目：A uniform relative version of the flowbox theorem II
报告人 文晓（北京航天航空大学）
报告时间 2018年1月16日10:30-11:30
报告地点 维格堂319
报告摘要 In this talk, we will revisit the notion of sectional Poincar/e maps. We will use the notion of flowbox to give the definition of the sectional Poincar/'e maps of a $C^1$ vector filed and then prove the "uniform properties" of the sectional Poincar/'e maps which have been found by Liao, Gan-Yang by another way which is different from standard equations or holonomy maps generated by flow arcs.