江蘇省應用數學（中國礦業大學）中心系列學術報告
報告題目：Smooth dependence of nonautonomous linearization on parameters
報告人：張文萌教授
報告時間：2023/11/28 （周二）10:15-11:15
騰訊會議：5318371238
報告摘要：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.
報告人簡介：張文萌，重慶師範大學二級教授。在Adv.Math.和Math.Ann.等SCI刊物發表論文20餘篇，主持國家自然科學基金項目4項，成果獲教育部自然科學獎一等獎（第2完成人）