{"title":"On Global Boundedness, Stability and Almost Periodicity of Solutions for Heat Equations","authors":"Yi Xie, Peidong Lei","doi":"10.1619/FESI.62.191","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the existence, stability and almost periodicity of global bounded solutions of linear and semilinear parabolic equations. We give a rather complete characterization to the linear equation ut Du 1⁄4 luþ f ðx; tÞ, in term of the parameter l, of whether or not the global bounded solutions exist. Also, we obtain a complete characterization on the stability of global bounded solutions.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1619/FESI.62.191","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
This paper is concerned with the existence, stability and almost periodicity of global bounded solutions of linear and semilinear parabolic equations. We give a rather complete characterization to the linear equation ut Du 1⁄4 luþ f ðx; tÞ, in term of the parameter l, of whether or not the global bounded solutions exist. Also, we obtain a complete characterization on the stability of global bounded solutions.
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