{"title":"耦合内含物相对于可变指数的鲁棒性","authors":"J. Simsen","doi":"10.3934/eect.2022049","DOIUrl":null,"url":null,"abstract":"<p style='text-indent:20px;'>This work concerns the study of the stability of the solutions and the robustness of the global attractors with respect to the variation of spatially variable exponents for a system with three inclusions. We prove the continuity of the flows and upper semicontinuity of the global attractors.</p>","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":"34 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Robustness for coupled inclusions with respect to variable exponents\",\"authors\":\"J. Simsen\",\"doi\":\"10.3934/eect.2022049\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p style='text-indent:20px;'>This work concerns the study of the stability of the solutions and the robustness of the global attractors with respect to the variation of spatially variable exponents for a system with three inclusions. We prove the continuity of the flows and upper semicontinuity of the global attractors.</p>\",\"PeriodicalId\":48833,\"journal\":{\"name\":\"Evolution Equations and Control Theory\",\"volume\":\"34 1\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Evolution Equations and Control Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3934/eect.2022049\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Evolution Equations and Control Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3934/eect.2022049","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Robustness for coupled inclusions with respect to variable exponents
This work concerns the study of the stability of the solutions and the robustness of the global attractors with respect to the variation of spatially variable exponents for a system with three inclusions. We prove the continuity of the flows and upper semicontinuity of the global attractors.
期刊介绍:
EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE''s and FDEs. Topics include:
* Modeling of physical systems as infinite-dimensional processes
* Direct problems such as existence, regularity and well-posedness
* Stability, long-time behavior and associated dynamical attractors
* Indirect problems such as exact controllability, reachability theory and inverse problems
* Optimization - including shape optimization - optimal control, game theory and calculus of variations
* Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
* Applications of the theory to physics, chemistry, engineering, economics, medicine and biology