Sharp asymptotic behavior of solutions for cubic nonlinear Schrodinger equations with a potential

被引:49
|
作者
Naumkin, I. P. [1 ,2 ]
机构
[1] Univ Paris 06, BC 187,4 Pl Jussieu, F-75252 Paris 05, France
[2] CNRS, Lab Jacques Louis Lions, BC 187,4 Pl Jussieu, F-75252 Paris 05, France
关键词
LONG-RANGE SCATTERING; INVERSE SCATTERING; LARGE TIME; ENERGY; SPACE; OPERATORS; WAVES; LIGHT;
D O I
10.1063/1.4948743
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the cubic nonlinear Schrodinger equation with a potential. We obtain a sharp time decay for the global in time solution and we get the large time asymptotic profile of small solutions to the Cauchy problem. Published by AIP Publishing.
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页数:31
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