A smoothing property for the L2-critical NLS equations and an application to blowup theory

被引：18

作者：

Keraani, Sahbi ^{[1
]}

Vargas, Ana ^{[2
]}

机构：

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

[2] Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 03期

关键词：

Time dependent Schrodinger equation; Blowup; Bourgain spaces; NONLINEAR SCHRODINGER-EQUATION; MASS CONCENTRATION;

D O I：

10.1016/j.anihpc.2008.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a smoothing property for the L-2-critical nonlinear Schrodinger equation and we use it to study the blowup dynamics for singular solutions below the energy level. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：745 / 762

页数：18

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