On asymptotic stability in energy space of ground states of NLS in 1D

被引：22

作者：

Cuccagna, Scipio ^{[1
]}

机构：

[1] DISMI Univ Modena & Reggio Emilia, I-42100 Reggio Emilia, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 245卷 / 03期

关键词：

D O I：

10.1016/j.jde.2008.02.042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We transpose work by T. Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrodinger equation (NLS) in 1D. As an application we extend to dimension 1D a result on asymptotic stability of ground states of NILS proved by Cuccagna and Mizumachi for dimensions >= 3. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：653 / 691

页数：39

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