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：

Acta Mathematica Sinica(English Series) | 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.

引用

页码：891 / 900

页数：10

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