On the blow up phenomenon of the critical nonlinear Schrodinger equation

被引：105

作者：

Keraani, Sahbi ^{[1
]}

机构：

[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 235卷 / 01期

关键词：

time dependent Schrodinger equation; blow up; mass concentration;

D O I：

10.1016/j.jfa.2005.10.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the blow up phenomenon of critical nonlinear Schrodinger equations in dimension 1D and 2D. We define the minimal mass as the L-2 norm necessary to ignite a wave collapse and we stress its role in the blow up mechanism. Asymptotic compactness properties and L-2-concentration are proved. The proof relies on linear and nonlinear profile decompositions. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：171 / 192

页数：22

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