On the Cauchy problem for the Ostrovsky equation with positive dispersion

被引：34
|
作者：
Gui, Guilong [2 ]
Liu, Yue [1 ]
机构：
[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
[2] Jiangsu Univ, Dept Math, Zhenjiang, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 10-12期
关键词：
Cauchy problem; local and global well-posedness; Ostrovsky equation; regularity; weak rotation;
D O I：
10.1080/03605300600987314
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we mainly study the Cauchy problem for the Ostrovsky equation with positive dispersion in the Sobolev space H-s of lower order s. Using the crucial bilinear estimates in the Fourier transform restriction spaces related to the Ostrovsky equation, we establish local well-posedness in H-s with any s >= -7/12 and consequently global well-posedness due to the H-1 conservation law.
引用
收藏
页码：1895 / 1916
页数：22
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