{"title":"Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications","authors":"Y. Efendiev, A. Pankov","doi":"10.1515/1569395054012785","DOIUrl":null,"url":null,"abstract":"In this paper we obtain Meyers type L p+ε-estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.","PeriodicalId":342521,"journal":{"name":"J. Num. Math.","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Num. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/1569395054012785","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper we obtain Meyers type L p+ε-estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.
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