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.
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页码：677 / 693
页数：17
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