{"title":"Decay character and global existence for weakly coupled system of semilinear \u0000 \u0000 σ\u0000 $sigma$\u0000 -evolution damped equations with time-dependent damping","authors":"Cung The Anh, Phan Duc An, Pham Trieu Duong","doi":"10.1002/mana.202400243","DOIUrl":"https://doi.org/10.1002/mana.202400243","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>\u0000 <semantics>\u0000 <mi>σ</mi>\u0000 <annotation>$sigma$</annotation>\u0000 </semantics></math>-evolution equations with time-dependent damping in the so-called effective cases\u0000\u0000 </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"298 2","pages":"478-510"},"PeriodicalIF":0.8,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143397234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}