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math.DS2019
Reducibility of the quantum harmonic oscillator in -dimensions with finitely differentiable perturbations
Wenwen Jian
In this paper, the -dimensional quantum harmonic oscillator with a pseudo-differential time quasi-periodic perturbation \begin{equation}\label{0} \text{i}\dotψ=(-Δ+V(x)+εW(ωt,x,…
math.DS2019★ 3 cited
Krylov--Bogolyubov averaging
Wenwen Jian, Sergei Kuksin, Yuan Wu
We present the modified approach to the classical Bogolyubov-Krylov averaging, developed recently for the purpose of PDEs. It allows to treat Lipschitz perturbations of linear syst…