布儒诺条件下线性准周期哈密顿衍生波方程和半波方程的可重复性

IF 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations Pub Date : 2024-08-29 DOI:10.1007/s10884-024-10390-7

Zhaowei Lou

引用次数: 0

摘要

本文证明了一些线性准周期哈密顿导数波和半波方程在布儒诺-吕斯曼非共振条件下的可还原性。这是对以往哈密顿 PDEs 的还原性结果的扩展，以往的还原性结果需要更强的非共振条件（Diophantine）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 is an extension of previous results of reducibility on Hamiltonian PDEs that required stronger (Diophantine) non-resonance conditions.

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来源期刊

Journal of Dynamics and Differential Equations 数学-数学

CiteScore

3.30

自引率

7.70%

发文量

116

审稿时长

>12 weeks

期刊介绍： Journal of Dynamics and Differential Equations serves as an international forum for the publication of high-quality, peer-reviewed original papers in the field of mathematics, biology, engineering, physics, and other areas of science. The dynamical issues treated in the journal cover all the classical topics, including attractors, bifurcation theory, connection theory, dichotomies, stability theory and transversality, as well as topics in new and emerging areas of the field.