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math.DS2023
Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions
Zhaowei Lou
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…
math.DS2019
A KAM Theorem for Higher Dimensional Reversible Nonlinear Schrödinger Equations
Yingnan Sun, Zhaowei Lou, Jiansheng Geng
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 sta…