{"title":"非自主耗散非线性薛定谔网格中的指数稳定呼吸解","authors":"Dirk Hennig","doi":"10.1080/00036811.2024.2353732","DOIUrl":null,"url":null,"abstract":"We consider damped and forced discrete nonlinear Schrödinger equations on the lattice Z. First we establish the existence of a global uniform attractor for the dissipative dynamics of the system. F...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponentially stable breather solutions in nonautonomous dissipative nonlinear Schrödinger lattices\",\"authors\":\"Dirk Hennig\",\"doi\":\"10.1080/00036811.2024.2353732\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider damped and forced discrete nonlinear Schrödinger equations on the lattice Z. First we establish the existence of a global uniform attractor for the dissipative dynamics of the system. F...\",\"PeriodicalId\":55507,\"journal\":{\"name\":\"Applicable Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicable Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00036811.2024.2353732\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00036811.2024.2353732","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
我们考虑了网格 Z 上的阻尼和强迫离散非线性薛定谔方程。首先，我们确定了系统耗散动力学的全局均匀吸引子的存在性。F...
Exponentially stable breather solutions in nonautonomous dissipative nonlinear Schrödinger lattices
We consider damped and forced discrete nonlinear Schrödinger equations on the lattice Z. First we establish the existence of a global uniform attractor for the dissipative dynamics of the system. F...
期刊介绍：
Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal
General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.
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