{"title":"ASYMPTOTIC PROBLEMS CONNECTED WITH THE HEAT EQUATION IN PERFORATED DOMAINS","authors":"V. Zhikov","doi":"10.1070/SM1992V071N01ABEH002128","DOIUrl":null,"url":null,"abstract":"For the diffusion equation in the exterior of a closed set , , with Neumann conditions on the boundary, 0,$ SRC=http://ej.iop.org/images/0025-5734/71/1/A09/tex_sm_2128_img3.gif/>??pointwise stabilization, the central limit theorem, and uniform stabilization are studied.The basic condition on the set is formulated in terms of extension properties. Model examples of sets are indicated which are of interest from the viewpoint of mathematical physics and applied probability theory.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V071N01ABEH002128","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 20
Abstract
For the diffusion equation in the exterior of a closed set , , with Neumann conditions on the boundary, 0,$ SRC=http://ej.iop.org/images/0025-5734/71/1/A09/tex_sm_2128_img3.gif/>??pointwise stabilization, the central limit theorem, and uniform stabilization are studied.The basic condition on the set is formulated in terms of extension properties. Model examples of sets are indicated which are of interest from the viewpoint of mathematical physics and applied probability theory.
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