{"title":"耦合非线性Schrödinger系统的L^2浓度","authors":"X. Carvajal, P. Gamboa","doi":"10.7153/DEA-2019-11-04","DOIUrl":null,"url":null,"abstract":"In this work we adapt Bourgain’s ideas in [?] to a coupled system and we prove the L2 concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations at critical dimension. Mathematics subject classification (2010): 35A01, 35Q55.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"L^2-concentration for a coupled nonlinear Schrödinger system\",\"authors\":\"X. Carvajal, P. Gamboa\",\"doi\":\"10.7153/DEA-2019-11-04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we adapt Bourgain’s ideas in [?] to a coupled system and we prove the L2 concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations at critical dimension. Mathematics subject classification (2010): 35A01, 35Q55.\",\"PeriodicalId\":51863,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2019-11-04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2019-11-04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
L^2-concentration for a coupled nonlinear Schrödinger system
In this work we adapt Bourgain’s ideas in [?] to a coupled system and we prove the L2 concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations at critical dimension. Mathematics subject classification (2010): 35A01, 35Q55.
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