江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：Smooth dependence of nonautonomous linearization on parameters
报告人：张文萌教授
报告时间：2023/11/28 （周二）10:15-11:15
腾讯会议：5318371238
报告摘要：Barreira and Valls proved in [J. Dyn. Diff. Equ., 22 (2010): 787-803] the C^1 dependence of C^0 linearization on parameters for nonuniformly hyperbolic diffeomorphisms, whose nonlinear parts depend on the parameters but linear parts do not. In this talk, we allow the linear parts to depend on the parameters, where only Holder dependence is possible and a difficulty arises: the projections in the nonuniform exponential dichotomy do not have explicit expressions. We will overcome the difficulty by giving a new result on the Holder dependence of nonuniform exponential dichotomy and constructing the conjugacy in a different way.
报告人简介：张文萌，重庆师范大学二级教授。在Adv.Math.和Math.Ann.等SCI刊物发表论文20余篇，主持国家自然科学基金项目4项，成果获教育部自然科学奖一等奖（第2完成人）