Sharp asymptotic behavior of solutions to nonlinear Schrodinger equations with repulsive interactions

被引：5
作者：
Kita, N
Ozawa, T
机构：
[1] Kyushu Univ, Grad Sch Math, Higashi Ku, Fukuoka 8128581, Japan
[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2005年 / 7卷 / 02期
关键词：
nonlinear Schrodinger equation; asympototic behavior of the solution;
D O I：
10.1142/S0219199705001696
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A detailed description is given on the large time behavior of scattering solutions to the Cauchy problem for nonlinear Schrodinger equations with repulsive interactions in the short-range case without smallness condition on the data.
引用
收藏
页码：167 / 176
页数：10
相关论文
共 21 条
[1]   RAPIDLY DECAYING SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION [J].
CAZENAVE, T ;
WEISSLER, FB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (01) :75-100
[2]  
CAZENAVE T, 1994, TEXTOS METODOS MATEM, V30
[3]   ON THE INITIAL-VALUE PROBLEM FOR A NON-LINEAR SCHRODINGER-EQUATION [J].
DONG, GC ;
LI, S .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 42 (03) :353-365
[4]  
ERGH J, 1976, INTERPOLATION SPACES
[5]  
GINIBRE J, 1985, J MATH PURE APPL, V64, P363
[6]  
GINIBRE J, 1994, ANN I H POINCARE-PHY, V60, P211
[7]   CLASS OF NON-LINEAR SCHRODINGER EQUATIONS .1. CAUCHY-PROBLEM, GENERAL-CASE [J].
GINIBRE, J ;
VELO, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 32 (01) :1-32
[8]  
GINIBRE J, 1998, COURS DEA 1994 199 L, V161
[9]  
GINIBRE J, 1997, GAKUTO INT SERIES MA, V10
[10]  
HAYASHI N, 1987, LECT NOTES MATH, V1285, P162
123