Local well-posedness for the periodic higher order KdV type equations

被引：24

作者：

Hirayama, Hiroyuki ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2012年 / 19卷 / 06期

关键词：

KdV equation; Well-posedness; Cauchy problem; Fourier restriction norm; KORTEWEG-DEVRIES EQUATION; DE-VRIES EQUATION; CAUCHY-PROBLEM; KAWAHARA EQUATION; GLOBAL EXISTENCE; SOBOLEV SPACES;

D O I：

10.1007/s00030-011-0147-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Higher order KdV type equations are the equation replaced by a higher order derivative for the KdV equation. Recently, the local well-posedness result for these equations on torus have been given by Gorsky and Himonas (Math. Comput. Simul. 80:173-183, 2009). We extend this result by improving a bilinear estimate used in the Fourier restriction norm method.

引用

下载

页码：677 / 693

页数：17

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