{"title":"一类椭圆型方程解边值的存在性","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":"{\"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}","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}
ON THE EXISTENCE OF BOUNDARY VALUES OF SOLUTIONS OF AN ELLIPTIC EQUATION
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).
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