{"title":"Extinction for discretizations of some semilinear parabolic equations","authors":"Théodore K. Boni","doi":"10.1016/S0764-4442(01)02078-X","DOIUrl":null,"url":null,"abstract":"<div><p>We obtain some conditions under which solutions for semidiscretizations of semilinear parabolic equations extinct in a finite time and estimate their extinction time. A similar study is also undertaken for full discretizations.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 8","pages":"Pages 795-800"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02078-X","citationCount":"50","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S076444420102078X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 50
Abstract
We obtain some conditions under which solutions for semidiscretizations of semilinear parabolic equations extinct in a finite time and estimate their extinction time. A similar study is also undertaken for full discretizations.
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