{"title":"Decay character and global existence for weakly coupled system of semilinear \n \n σ\n $\\sigma$\n -evolution damped equations with time-dependent damping","authors":"Cung The Anh, Phan Duc An, Pham Trieu Duong","doi":"10.1002/mana.202400243","DOIUrl":null,"url":null,"abstract":"<p>In this article, we investigate the existence and decay rate of the global solution to the coupled system of semilinear structurally damped <span></span><math>\n <semantics>\n <mi>σ</mi>\n <annotation>$\\sigma$</annotation>\n </semantics></math>-evolution equations with time-dependent damping in the so-called effective cases\n\n </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"298 2","pages":"478-510"},"PeriodicalIF":0.8000,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202400243","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we investigate the existence and decay rate of the global solution to the coupled system of semilinear structurally damped -evolution equations with time-dependent damping in the so-called effective cases
期刊介绍：
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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