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

页码：1067 / 1081

页数：15

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