{"title":"拉普拉斯算子的边界算子构造。11. 双层电势的使用","authors":"A. D. Polishchuk","doi":"10.1109/DIPED.2005.201600","DOIUrl":null,"url":null,"abstract":"I. Functional space Kr Let G be a bounded open C1 -set [I] in 23 the boundary of which is -smooth surface We write G= R3 U and introduce [2] on G, GC Sobolev spaces w2(c and ,, W (G') u e DLY(G'): u r, DUe c LjG),wee i o1)oeV paeS p2 (G) 2(lo } G1' t)I,t DXEt G) h re ts the distance of the point X E G' to the coordinate origin 0 and the space W2 (f) Introduce the space H' = 4(G) xW'(G') the elements of whlich we write as","PeriodicalId":169377,"journal":{"name":"Proceedings of Xth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"82 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Construction of boundary operators for the laplacian. 11. Using of double layer potential\",\"authors\":\"A. D. Polishchuk\",\"doi\":\"10.1109/DIPED.2005.201600\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"I. Functional space Kr Let G be a bounded open C1 -set [I] in 23 the boundary of which is -smooth surface We write G= R3 U and introduce [2] on G, GC Sobolev spaces w2(c and ,, W (G') u e DLY(G'): u r, DUe c LjG),wee i o1)oeV paeS p2 (G) 2(lo } G1' t)I,t DXEt G) h re ts the distance of the point X E G' to the coordinate origin 0 and the space W2 (f) Introduce the space H' = 4(G) xW'(G') the elements of whlich we write as\",\"PeriodicalId\":169377,\"journal\":{\"name\":\"Proceedings of Xth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"volume\":\"82 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Xth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2005.201600\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Xth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2005.201600","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
摘要
即功能空间Kr让G是一个有限开放C1组[我]在23个边界的光滑表面我们写G = R3 U和介绍[2]G, GC索伯列夫空间w2 (c和W (G) U e海底(G): U r、c LjG),凌晨我o1)项目paeS p2 (G) 2 (lo} G1 ' t), t DXEt G) h再保险ts距离X e G点的坐标原点0和w2的空间(f)引入空间h = 4 (G) xW”(G)我们这写的元素
Construction of boundary operators for the laplacian. 11. Using of double layer potential
I. Functional space Kr Let G be a bounded open C1 -set [I] in 23 the boundary of which is -smooth surface We write G= R3 U and introduce [2] on G, GC Sobolev spaces w2(c and ,, W (G') u e DLY(G'): u r, DUe c LjG),wee i o1)oeV paeS p2 (G) 2(lo } G1' t)I,t DXEt G) h re ts the distance of the point X E G' to the coordinate origin 0 and the space W2 (f) Introduce the space H' = 4(G) xW'(G') the elements of whlich we write as
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