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

被引：0

作者：

Xiao Yi ZHANG Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing PRChina ^{[100190
]}

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：

<正> In this short note,we show the illposedness of anisotropic Schr6dinger equation in L2 if thegrowth of nonlinearity is larger than a threshold power pc which is also the critical power for blowup,as Fibich,Ilan and Schochet have pointed out recently.The illposedness in anisotropic Sobolev spaceHk,d-k2s,swhere 0c,sc=d/2-k/4-2/（p-1）,and the illposedness in Sobolev space of negative orderHs,s<0 are also proved.

引用

页码：891 / 900

页数：10

共 6 条

[1]

Mathematical modelling of pulsatile flow of Casson’s fluid in arterial stenosis[J] . S.U. Siddiqui,N.K. Verma,Shailesh Mishra,R.S. Gupta.Applied Mathematics and Computation . 2007 (1)

[2] Modeling of arterial stenosis and its applications to blood diseases [J].

Pralhad, RN ;

Schultz, DH .

MATHEMATICAL BIOSCIENCES, 2004, 190 (02) :203-220

[3] A numerical simulation of viscous flows in collapsible tubes with stenoses [J].

Liu, BY ;

Tang, DL .

APPLIED NUMERICAL MATHEMATICS, 2000, 32 (01) :87-101

[4] Mathematical modelling of three-dimensional flow through an asymmetric arterial stenosis [J].

Ang, KC ;

Mazumdar, JN .

MATHEMATICAL AND COMPUTER MODELLING, 1997, 25 (01) :19-29

[5] Suspension model for blood flow through stenotic arteries with a cell-free plasma layer [J].

Srivastava, VP ;

Saxena, M .

MATHEMATICAL BIOSCIENCES, 1997, 139 (02) :79-102

[6]

Determination of blow-up solutions with minimal mass for nonlinear Schr?dinger equations with critical power[J] . F. Merle.Duke Mathematical Journal . 1993 (2)

← 1 →