{"title":"具有变指数记忆项的半线性抛物方程的爆破","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":"{\"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}","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}
Blow-up for Semilinear Parabolic Equations with Memory Terms of Variable Exponents
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.