The Cauchy problem for the modified Novikov equation

被引：0
|
作者：
Xueping Hou
Yan Zheng
机构：
[1] Henan Normal University,College of Mathematics and Information Science
[2] Henan Vocational College of Agriculture,undefined
来源：
Boundary Value Problems | / 2014卷
关键词：
Cauchy problem; modified Novikov equation;
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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 Bp,rs with 1≤p,r≤+∞ and s>max{1+1p,32} and show that the Cauchy problem for the modified Novikov equation is locally well posed in the Besov space B2,13/2 with the aid of Osgood lemma.
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