arXiv subjects

Zhaowei Lou

Publications and source records attributed to Zhaowei Lou.

2 recordsLinked to original sources

arXiv2023

Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions

In this paper, we prove the reducibility for some linear quasi-periodic Hamiltonian derivative wave and half-wave equations under the Brjuno-Rüssmann non-resonance conditions. This generalizes KAM theory by Pöschel in [38] from the finite dimensional Hamiltonian systems to Hamiltonian PDEs.

math.DS↗

arXiv2019

A KAM Theorem for Higher Dimensional Reversible Nonlinear Schrödinger Equations

In the paper, we prove an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible systems. Using this KAM theorem, we obtain the existence and linear stability of quasi-periodic solutions for a class of reversible (non-Hamiltonian) coupled nonlinear Schrödinger systems on $d-$torus $\mathbb{T}^d$.

math.DS↗