Unconditional well-posedness for the periodic Boussinesq and Kawahara equations

被引：0
|
作者：
Geba, Dan -Andrei [1 ]
机构：
[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA
来源：
ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 02期
关键词：
Boussinesq equation; Kawahara equation; well-posedness; unconditional uniqueness; normal form; NONLINEAR SCHRODINGER-EQUATIONS; GENERALIZED BOUSSINESQ;
D O I：
10.3934/era.2024052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we obtain new results on the unconditional well-posedness for a pair of periodic nonlinear dispersive equations using an abstract framework introduced by Kishimoto. This framework is based on a normal form reductions argument coupled with a number of crucial multilinear estimates.
引用
收藏
页码：1067 / 1081
页数：15
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