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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