3-15 吴文俊数学重点实验室 Dynamical Systems Seminar【Prof. Yingfei Yi】

发布者:系统管理员发布时间:2017-03-13浏览次数:30


报告人:Prof. Yingfei Yi

单位:University of Alberta and Jilin University

题目:Reducibility of Quasi-Periodic Linear KdV Equation

时间:3月15日(周三)下午4点至5点

地点:数学学院1518教室

摘要:We consider a perturbative, one-dimensional,  quasi-periodic, linear KdV 
equation with periodic boundary condition Under the real analyticity and 
reversibility assumptions of the coefficients, we  show that there 
exists a Cantor set in the frequency space of almost full measure such 
that for each frequency vector in the space, the corresponding equation 
is smoothly reducible to a constant-coefficients one. This problem is 
closely related to the existence and linear stability of quasi-periodic 
solutions in a nonlinear KdV equation.

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