Semiclassical limit of the nonlinear Schrodinger equation in small time

被引：101

作者：

Grenier, E ^{[1
]}

机构：

[1] Univ Paris 06, Anal Numer Lab, CNRS, URA 189, F-75252 Paris 05, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 02期

关键词：

nonlinear Schrodinger equations; semiclassical limit;

D O I：

10.1090/S0002-9939-98-04164-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the semi-classical limit of the nonlinear Schrodinger equation for initial data with Sobolev regularity, before shocks appear in the limit system, and in particular the validity of the WKB method.

引用

页码：523 / 530

页数：8