{"title":"Asymptotics for a parabolic problem of Kirchhoff type with singular critical exponential nonlinearity","authors":"Tahir Boudjeriou","doi":"10.1002/mana.202200319","DOIUrl":null,"url":null,"abstract":"<p>The main objective of this paper is to characterize stable sets based on the asymptotic behavior of solutions as <span></span><math>\n <semantics>\n <mi>t</mi>\n <annotation>$t$</annotation>\n </semantics></math> goes to infinity for the following class of parabolic Kirchhoff equations:\n\n </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 8","pages":"2949-2969"},"PeriodicalIF":0.8000,"publicationDate":"2024-04-21","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.202200319","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
The main objective of this paper is to characterize stable sets based on the asymptotic behavior of solutions as goes to infinity for the following class of parabolic Kirchhoff equations:
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