{"title":"Final state problem for the nonlocal nonlinear Schrödinger equation with dissipative nonlinearity","authors":"Mamoru Okamoto, Kota Uriya","doi":"10.7153/dea-2019-11-23","DOIUrl":null,"url":null,"abstract":". Weconsider the asymptotic behavior of solutions to the nonlocal nonlinear Schr¨odinger equation with dissipative nonlinearity. We prove that there exists a solution which has different behavior from that of the typical cubic nonlinear Schr¨odinger equation.","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":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2019-11-23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 2
Abstract
. Weconsider the asymptotic behavior of solutions to the nonlocal nonlinear Schr¨odinger equation with dissipative nonlinearity. We prove that there exists a solution which has different behavior from that of the typical cubic nonlinear Schr¨odinger equation.
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