Further scattering results for almost cubic nonlinear Schrodinger equation

被引：0

作者：

Demirbas, S. ^{[1
]}

Eden, A. ^{[1
,2
]}

机构：

[1] Bogazici Univ, Dept Math, TR-34342 Istanbul, Turkey

[2] Feza Gursey Inst, TUBITAK, Istanbul 34684, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 02期

关键词：

Nonlinear Schodinger equation; Pseudo-conformal transform; Scattering; Davey-Stewartson systems; EXISTENCE;

D O I：

10.1016/j.aml.2010.08.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present three results on the scattering of solutions for the almost cubic nonlinear Schrodinger equations. When initial datum has a small X-p-norm, the solutions scatter in L-2, when the initial datum is in H-s with a small L-2-norm with 0 <= s <= 1 then they scatter in H-s. Finally, whenever we have global existence of H-1 solutions, we also have scattering in the H-0.1-norm. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：111 / 115

页数：5

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