Global Solutions and Stability Properties of the 5th Order Gardner Equation

被引：1

作者：

Alejo, Miguel A. ^{[1
]}

Kwak, Chulkwang ^{[2
]}

机构：

[1] Univ Cordoba, Dept Matemat, Cordoba, Spain

[2] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2023年 / 35卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Higher order Gardner equation; Global well-posedness; Breather; Stability; Integrability; LOCAL WELL-POSEDNESS; NONLINEAR SCHRODINGER-EQUATION; A-PRIORI BOUNDS; ILL-POSEDNESS; BENJAMIN-ONO; CAUCHY-PROBLEM; KDV EQUATIONS; REGULARITY; DYNAMICS; HIERARCHY;

D O I：

10.1007/s10884-021-10022-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we deal with the initial value problem of the 5th-order Gardner equation in R, presenting the local well-posedness result in H-2(R). As a consequence of the local result, in addition to H-2-energy conservation law, we are able to prove the globalwell-posedness result in H-2(R). Finally as a direct application, we prove that some globally defined functions, e.g. breather solutions of 5th order Gardner equation, are H-2(R) stable.

引用

页码：575 / 621

页数：47

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