%0 Journal Article
%T KdVKS方程的局部适定性<br>ON THE LOCAL WELL-POSEDNESS FOR THE KDVKS EQUATION
%A 作者
%A 王宏伟
%A 张媛媛
%J 数学杂志
%D 2018
%X 本文研究了KdVKS方程ut+δ？x3u+μ（？x4u+？x2u）+α（？xu）2=0的Cauchy问题.利用Tao的[k；Z]乘子范数估计的方法，在Sobolev空间Hs（R），s >-1中证明了初值问题的局部适定性，结论改进了现有的Biagioni等的结果.<br>In this paper, we consider the Cauchy problem for the KdVKS equation ut + δ？x3u + μ(？x4u +？x2u) + α(？xu)2=0. By means of the[k; Z] multiplier norm method of Tao, we prove the associated initial value problem is locally well-posed in Sobolev spaces Hs(R) for s > -1, which improves the conclusions drawn by Biagioni et al
%K KdVKS方程 局部适定性 Cauchy问题&lt
%K br&gt
%K KdVKS equation local well-posedness Cauchy problem
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180406&flag=1