含Dirac杂质的弱阻尼三次非线性Schrödinger的Galerkin方法，以及半线上的人工边界条件

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-01-01 DOI:10.3934/DCDSS.2021030

A. Chrifi, M. Abounouh, H. A. Moatassime

{"title":"含Dirac杂质的弱阻尼三次非线性Schrödinger的Galerkin方法，以及半线上的人工边界条件","authors":"A. Chrifi, M. Abounouh, H. A. Moatassime","doi":"10.3934/DCDSS.2021030","DOIUrl":null,"url":null,"abstract":"We consider a weakly damped cubic nonlinear Schrodinger equation with Dirac interaction defect in a half line of \\begin{document}$ \\mathbb{R} $\\end{document} . Endowed with artificial boundary condition at the point \\begin{document}$ x = 0 $\\end{document} , we discuss the global existence and uniqueness of solution of this equation by using Faedo–Galerkin method.","PeriodicalId":11254,"journal":{"name":"Discrete & Continuous Dynamical Systems - S","volume":"182 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line\",\"authors\":\"A. Chrifi, M. Abounouh, H. A. Moatassime\",\"doi\":\"10.3934/DCDSS.2021030\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a weakly damped cubic nonlinear Schrodinger equation with Dirac interaction defect in a half line of \\\\begin{document}$ \\\\mathbb{R} $\\\\end{document} . Endowed with artificial boundary condition at the point \\\\begin{document}$ x = 0 $\\\\end{document} , we discuss the global existence and uniqueness of solution of this equation by using Faedo–Galerkin method.\",\"PeriodicalId\":11254,\"journal\":{\"name\":\"Discrete & Continuous Dynamical Systems - S\",\"volume\":\"182 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete & Continuous Dynamical Systems - S\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/DCDSS.2021030\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete & Continuous Dynamical Systems - S","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/DCDSS.2021030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

We consider a weakly damped cubic nonlinear Schrodinger equation with Dirac interaction defect in a half line of \begin{document}$ \mathbb{R} $\end{document} . Endowed with artificial boundary condition at the point \begin{document}$ x = 0 $\end{document} , we discuss the global existence and uniqueness of solution of this equation by using Faedo–Galerkin method.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line

We consider a weakly damped cubic nonlinear Schrodinger equation with Dirac interaction defect in a half line of \begin{document}$ \mathbb{R} $\end{document} . Endowed with artificial boundary condition at the point \begin{document}$ x = 0 $\end{document} , we discuss the global existence and uniqueness of solution of this equation by using Faedo–Galerkin method.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助