On the nonlinear Schrodinger dynamics on S2

被引：11
作者：
Banica, V [1 ]
机构：
[1] Univ Paris 11, F-91405 Orsay, France
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 01期
关键词：
nonlinear Schrodinger; Eigenfunctions; ansatz;
D O I：
10.1016/S0021-7824(03)00059-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the evolution of the highest weight spherical harmonics by the nonlinear Schrodinger equation on S-2. Sharp estimates are proved for the dynamics parallel and orthogonally to the initial data. Also, we give an ansatz of the solution with respect to the spherical harmonics. (C) 2003 Elsevier SAS. All rights reserved.
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页码：77 / 98
页数：22
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