一维三次非线性Schrödinger系统的大时间渐近性，2

IF 0.4 4区数学 Q4 MATHEMATICS Tokyo Journal of Mathematics Pub Date : 2019-05-17 DOI:10.1619/fesi.64.361

Chunhua Li, Y. Nishii, Yuji Sagawa, Hideaki Sunagawa

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引用次数: 8

摘要

这是同一作者的论文“一维三次非线性薛定谔系统的大时间渐近性”的续集。我们继续研究一维三次非线性薛定谔方程的双组分系统的柯西问题。根据初始数据的傅立叶变换，我们提供了小振幅解在$L^2$中的大时间衰减或非衰减的标准。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large Time Asymptotics for a Cubic Nonlinear Schrödinger System in One Space Dimension, II

This is a sequel to the paper "Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension" by the same authors. We continue to study the Cauchy problem for the two-component system of cubic nonlinear Schrodinger equations in one space dimension. We provide criteria for large time decay or non-decay in $L^2$ of the small amplitude solutions in terms of the Fourier transforms of the initial data.

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来源期刊

Tokyo Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, in 2005 Tokai University, and in 2013 Tokyo University of Science, joined as supporting institutions.