A Note on the Illposedness for Anisotropic Nonlinear Schrdinger Equation

被引：0
|
作者：
Xiao Yi ZHANG Academy of Mathematics and Systems Science
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 2008年 / 24卷 / 06期
关键词：
anisotropic Schrodinger equation; anisotropic Sobolev space; illposedness;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
In this short note,we show the illposedness of anisotropic Schr6dinger equation in L~2 if thegrowth of nonlinearity is larger than a threshold power pwhich is also the critical power for blowup,as Fibich,Ilan and Schochet have pointed out recently.The illposedness in anisotropic Sobolev spaceHwhere 0<s<s,s=d/2-k/4-2/(p-1),and the illposedness in Sobolev space of negative orderH~s,s<0 are also proved.
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收藏
页码：891 / 900
页数：10
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