Blow-up of rough solutions to the fourth-order nonlinear Schrodinger equation

被引：13

作者：

Zhu, Shihui ^{[1
]}

Yang, Han ^{[2
]}

Zhang, Jian ^{[1
]}

机构：

[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

关键词：

Nonlinear Schrodinger equation; I-method; Rough blow-up solution; Limiting profile; L-2-concentration; GLOBAL WELL-POSEDNESS; MASS CONCENTRATION;

D O I：

10.1016/j.na.2011.05.096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the formation of singularities of rough blow-up solutions to the fourth-order nonlinear Schrodinger equation. The limiting profile and L-2-concentration of the rough blow-up solutions are obtained in H-s(R-4) with s > s(0), where s(0) <= 9+root 721/20 approximate to 1.793. The new ingredient relies on the refined compactness result developed by Zhu et al. [S. H. Zhu, J. Zhang, H. Yang, Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrodinger equation, Dyn. Partial Differ. Equ. 7 (2010) 187-205]. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6186 / 6201

页数：16

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