{"title":"具有奇异临界指数非线性的基尔霍夫型抛物线问题的渐近论","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":"{\"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}","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}
Asymptotics for a parabolic problem of Kirchhoff type with singular critical exponential nonlinearity
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
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