{"title":"ON UNIFORM STABILIZATION OF THE SOLUTION OF THE SECOND MIXED PROBLEM FOR A SECOND ORDER PARABOLIC EQUATION","authors":"A. Gushchin, V. P. Mikhaĭlov, Y. Mikhailov","doi":"10.1070/SM1987V056N01ABEH003029","DOIUrl":null,"url":null,"abstract":"The authors investigate uniform stabilization of the solution of the second mixed problem in a cylindrical domain for a linear parabolic equation of second order. For a rather broad class of unbounded domains a sharp estimate of the Green function for the problem in question is established, and a condition on the initial function is found which is necessary and sufficient for uniform stabilization of the solution.Bibliography: 14 titles.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"99 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1987-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1987V056N01ABEH003029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 24
Abstract
The authors investigate uniform stabilization of the solution of the second mixed problem in a cylindrical domain for a linear parabolic equation of second order. For a rather broad class of unbounded domains a sharp estimate of the Green function for the problem in question is established, and a condition on the initial function is found which is necessary and sufficient for uniform stabilization of the solution.Bibliography: 14 titles.
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