{"title":"关于椭圆型问题在无穷边界域上的解的估计","authors":"Mikhail Yakovlevich Spiridonov","doi":"10.20948/mathmontis-2023-56-5","DOIUrl":null,"url":null,"abstract":"An a priori estimate for the solution of an elliptic boundary value problem in a domain with an infinite boundary is proved. In this case, a certain regularity of the structure of the domain in the vicinity of infinity is assumed. Similar estimates are known for solutions of boundary value problems in bounded and unbounded domains, but with compact boundaries, as well as in a half-space (the boundary of which is a hyperplane).","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"294 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On an estimate for of an elliptic problem the solution in a domain with an infinite boundary\",\"authors\":\"Mikhail Yakovlevich Spiridonov\",\"doi\":\"10.20948/mathmontis-2023-56-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An a priori estimate for the solution of an elliptic boundary value problem in a domain with an infinite boundary is proved. In this case, a certain regularity of the structure of the domain in the vicinity of infinity is assumed. Similar estimates are known for solutions of boundary value problems in bounded and unbounded domains, but with compact boundaries, as well as in a half-space (the boundary of which is a hyperplane).\",\"PeriodicalId\":170315,\"journal\":{\"name\":\"Mathematica Montisnigri\",\"volume\":\"294 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Montisnigri\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20948/mathmontis-2023-56-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Montisnigri","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20948/mathmontis-2023-56-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On an estimate for of an elliptic problem the solution in a domain with an infinite boundary
An a priori estimate for the solution of an elliptic boundary value problem in a domain with an infinite boundary is proved. In this case, a certain regularity of the structure of the domain in the vicinity of infinity is assumed. Similar estimates are known for solutions of boundary value problems in bounded and unbounded domains, but with compact boundaries, as well as in a half-space (the boundary of which is a hyperplane).
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