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

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2021-05-01 DOI:10.1016/j.anihpc.2020.09.006

Hongzi Cong , Xiaoping Yuan

引用次数: 5

Abstract

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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一维非线性波动方程的全维不变环面存在性

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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来源期刊

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.