Semiclassical limit for nonlinear Schrodinger equation with potential. II

被引：0

作者：

Keraani, S ^{[1
]}

机构：

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

来源：

ASYMPTOTIC ANALYSIS | 2006年 / 47卷 / 3-4期

关键词：

Schrodinger equation; ground state; stability; semiclassical limit; Wigner measure; WKB method;

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 dedicated to the semiclassical limit of the nonlinear focusing Schrodinger equation (NLS) with a potential with initial data in the form [GRAPHICS] where Q is the ground state of the associated unscaled elliptic problem. Using a refined version of the method introduced by Bronski and Jerrard [Math. Res. Lett. 7(2-3) (2000), 329-342], we prove that, up to a time-dependent phase shift, the initial shape is conserved with parameters that are transported by the classical flow.

引用

页码：171 / 186

页数：16

共 13 条

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