{"title":"阻尼强迫非线性对数Schrödinger方程的全局吸引子","authors":"O. Goubet, E. Zahrouni","doi":"10.3934/dcdss.2020393","DOIUrl":null,"url":null,"abstract":"We consider here a damped forced nonlinear logarithmic Schrodinger equation in \\begin{document}$ \\mathbb{R}^N $\\end{document} . We prove the existence of a global attractor in a suitable energy space. We complete this article with some open issues for nonlinear logarithmic Schrodinger equations in the framework of infinite-dimensional dynamical systems.","PeriodicalId":11254,"journal":{"name":"Discrete & Continuous Dynamical Systems - S","volume":"26 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Global attractor for damped forced nonlinear logarithmic Schrödinger equations\",\"authors\":\"O. Goubet, E. Zahrouni\",\"doi\":\"10.3934/dcdss.2020393\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider here a damped forced nonlinear logarithmic Schrodinger equation in \\\\begin{document}$ \\\\mathbb{R}^N $\\\\end{document} . We prove the existence of a global attractor in a suitable energy space. We complete this article with some open issues for nonlinear logarithmic Schrodinger equations in the framework of infinite-dimensional dynamical systems.\",\"PeriodicalId\":11254,\"journal\":{\"name\":\"Discrete & Continuous Dynamical Systems - S\",\"volume\":\"26 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete & Continuous Dynamical Systems - S\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/dcdss.2020393\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete & Continuous Dynamical Systems - S","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/dcdss.2020393","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
We consider here a damped forced nonlinear logarithmic Schrodinger equation in \begin{document}$ \mathbb{R}^N $\end{document} . We prove the existence of a global attractor in a suitable energy space. We complete this article with some open issues for nonlinear logarithmic Schrodinger equations in the framework of infinite-dimensional dynamical systems.
Global attractor for damped forced nonlinear logarithmic Schrödinger equations
We consider here a damped forced nonlinear logarithmic Schrodinger equation in \begin{document}$ \mathbb{R}^N $\end{document} . We prove the existence of a global attractor in a suitable energy space. We complete this article with some open issues for nonlinear logarithmic Schrodinger equations in the framework of infinite-dimensional dynamical systems.