{"title":"Blow-up for Semilinear Parabolic Equations with Memory Terms of Variable Exponents","authors":"Xiang Jing, Tian Ya","doi":"10.22457/jmi.v24a04217","DOIUrl":null,"url":null,"abstract":"In this paper, we concern with the blow-up problem of positive solutions to parabolic equations with reaction terms of local and nonlocal type involving a variable exponent. It is shown that under certain conditions on the nonlinearities and data, blowups will occur for the limited time.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"60 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/jmi.v24a04217","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we concern with the blow-up problem of positive solutions to parabolic equations with reaction terms of local and nonlocal type involving a variable exponent. It is shown that under certain conditions on the nonlinearities and data, blowups will occur for the limited time.
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