{"title":"On the Stability of the Defocusing Mass-Critical Nonlinear Schrödinger Equation","authors":"Guangqing Zhang","doi":"10.4236/IJMNTA.2016.53012","DOIUrl":null,"url":null,"abstract":"We consider the defocusing mass-critical nonlinear Schr?dinger equation in the exterior domain in (). By analyzing Strichartz estimate and utilizing the inductive hypothesis method, we prove the stability for all initial data in .","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"115-121"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"现代非线性理论与应用(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/IJMNTA.2016.53012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the defocusing mass-critical nonlinear Schr?dinger equation in the exterior domain in (). By analyzing Strichartz estimate and utilizing the inductive hypothesis method, we prove the stability for all initial data in .
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