Chunhua Li, Y. Nishii, Yuji Sagawa, Hideaki Sunagawa
{"title":"Large Time Asymptotics for a Cubic Nonlinear Schrödinger\n System in One Space Dimension, II","authors":"Chunhua Li, Y. Nishii, Yuji Sagawa, Hideaki Sunagawa","doi":"10.1619/fesi.64.361","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1619/fesi.64.361","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
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.