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

被引：0
|
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.
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页码：187 / 205
页数：19
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