{"title":"Exponential decay for semilinear distributed systems with localized damping","authors":"E. Zuazua","doi":"10.1109/CDC.1989.70582","DOIUrl":null,"url":null,"abstract":"The author shows how multiplier techniques and unique continuation principles can be combined to prove exponential decay results for solutions of various semilinear evolution equations with a localized damping (i.e. a damping term that is effective only on a subregion of the domain where the equation holds). Both bounded and unbounded domains are considered.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70582","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The author shows how multiplier techniques and unique continuation principles can be combined to prove exponential decay results for solutions of various semilinear evolution equations with a localized damping (i.e. a damping term that is effective only on a subregion of the domain where the equation holds). Both bounded and unbounded domains are considered.<>
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