Smoothing effect and large time behavior of solutions to Schrodinger equations with nonlinearity of integral type

被引：3
|
作者：
Ozawa, T [1 ]
Yamazaki, Y [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2004年 / 6卷 / 04期
关键词：
nonlinear Schrodinger equation; scattering;
D O I：
10.1142/S0219199704001458
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schrodinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction.
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页码：681 / 703
页数：23
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