Limiting Profile of the Blow-up Solutions for the Fourth-order Nonlinear Schrodinger Equation

被引：1

作者：

Zhu, Shihui

Zhang, Jian

Yang, Han

机构：

[1] Sichuan Normal Univ, Visual Comp & Vitual Real Key Lab, Chengdu 610066, Peoples R China

[2] SW Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 7卷 / 02期

关键词：

Nonlinear Schrodinger equation; Blow-up solution; Profile decomposition; Limiting profile; GLOBAL WELL-POSEDNESS; MASS CONCENTRATION; DIMENSIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the blow-up solutions of the focusing fourth-order mass-critical nonlinear Schrodinger equation. Establishing the profile decomposition of the bounded sequences in H-2, we obtain the variational characteristics of the corresponding ground state and a compactness lemma. Moreover, we obtain the L-2-concentration of the blow-up solutions and the limiting profile of the minimal mass blow-up solutions in the general case.

引用

页码：187 / 205

页数：19

共 36 条

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