Reducibility of Linear Quasi-periodic Hamiltonian Derivative Wave Equations and Half-Wave Equations Under the Brjuno Conditions

被引：0
|
作者：
Lou, Zhaowei [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 211106, Peoples R China
[2] MIIT, Key Lab Math Modelling & High Performance Comp Air, Nanjing 211106, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年
基金：
中国国家自然科学基金;
关键词：
Reducibility; KAM; Brjuno-R & uuml; ssmann condition; LOWER-DIMENSIONAL TORI; UNBOUNDED PERTURBATIONS; RESPONSE SOLUTIONS; INVARIANT TORI; KAM THEOREM; OSCILLATOR; OPERATORS; SYSTEMS;
D O I：
10.1007/s10884-024-10390-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the reducibility for some linear quasi-periodic Hamiltonian derivative wave and half-wave equations under the Brjuno-R & uuml;ssmann non-resonance conditions. This is an extension of previous results of reducibility on Hamiltonian PDEs that required stronger (Diophantine) non-resonance conditions.
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页数：48
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