The Cauchy problem for the modified Novikov equation

被引：5
|
作者：
Hou, Xueping [1 ]
Zheng, Yan [2 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] Henan Vocat Coll Agr, Zhengzhou 451450, Henan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
Cauchy problem; modified Novikov equation; WELL-POSEDNESS;
D O I：
10.1186/s13661-014-0171-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the Cauchy problem for the modified Novikov equation. By using the transport equation theory and Littlewood-Paley decomposition as well as nonhomogeneous Besov spaces, we prove that the Cauchy problem for the modified Novikov equation is locally well posed in the Besov space B-p,r(s) with 1 <= p, r <= + infinity and s > max{1 + 1/p, 3/2} and show that the Cauchy problem for the modified Novikov equation is locally well posed in the Besov space B-2,1(3/2) with the aid of Osgood lemma.
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页码：1 / 11
页数：11
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