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.
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页码：575 / 621
页数：47
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