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“創(chuàng)源”大講堂研究生學(xué)術(shù)講座
海 報(bào)
題目：Smooth dependence of nonautonomous linearization on parameters
報(bào)告人：張文萌 重慶師范大學(xué) 教授
時(shí)間: 11月22日（周三）下午16: 20-17: 10
地點(diǎn)：30456
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.
個(gè)人簡(jiǎn)介：張文萌，重慶師范大學(xué)二級(jí)教授，國(guó)家優(yōu)青，重慶市杰青。在Adv.Math.和Math.Ann.等SCI刊物發(fā)表論文20余篇，主持國(guó)家自然科學(xué)基金項(xiàng)目4項(xiàng)，成果獲教育部自然科學(xué)獎(jiǎng)一等獎(jiǎng)（第2完成人）。
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