一维非线性波动方程的全维不变环面存在性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-05-01 DOI:10.1016/j.anihpc.2020.09.006

Hongzi Cong , Xiaoping Yuan

引用次数: 5

摘要

本文利用KAM理论的方法和Bourgain[9]提出的思想，证明了带外参数的一维非线性波动方程具有次指数衰减的全维环面的存在性和线性稳定性。

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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The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation

In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation with external parameters, which relies on the method of KAM theory and the idea proposed by Bourgain [9].

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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