{"title":"ON THE EXISTENCE OF BOUNDARY VALUES OF SOLUTIONS OF AN ELLIPTIC EQUATION","authors":"A. Gushchin, V. P. Mikhaĭlov","doi":"10.1070/SM1992V073N01ABEH002540","DOIUrl":null,"url":null,"abstract":"A test is established for the existence of a boundary value for the solution of the elliptic second order equation In this connection, it is proved that the solution has a property () similar to continuity with respect to all variables in , and that its boundary value is the limit in of the traces of the solution on surfaces in a large class (which are not necessarily \"parallel\" to the boundary).","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"37","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V073N01ABEH002540","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 37
Abstract
A test is established for the existence of a boundary value for the solution of the elliptic second order equation In this connection, it is proved that the solution has a property () similar to continuity with respect to all variables in , and that its boundary value is the limit in of the traces of the solution on surfaces in a large class (which are not necessarily "parallel" to the boundary).
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
