{"title":"A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions","authors":"J. C. Ferreira, M. Pereira","doi":"10.5802/CRMATH.109","DOIUrl":null,"url":null,"abstract":"Through this paper we deal with the asymptotic behaviour as t→ +∞ of the solutions for the nonlocal diffusion problem with impulsive actions and Dirichlet condition. We establish a decay rate for the solutions assuming appropriate hypotheses on the impulsive functions and the nonlinear reaction.","PeriodicalId":10620,"journal":{"name":"Comptes Rendus Mathematique","volume":"79 1","pages":"1119-1128"},"PeriodicalIF":0.8000,"publicationDate":"2021-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mathematique","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/CRMATH.109","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
Through this paper we deal with the asymptotic behaviour as t→ +∞ of the solutions for the nonlocal diffusion problem with impulsive actions and Dirichlet condition. We establish a decay rate for the solutions assuming appropriate hypotheses on the impulsive functions and the nonlinear reaction.
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