{"title":"疲劳曲面下拉普拉斯算子的边界算子构造。- II。利用双层电势","authors":"A. D. Polishchuk","doi":"10.1109/DIPED.2006.314313","DOIUrl":null,"url":null,"abstract":"Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of double layer potential in the Hilbert space elements of which have a jump through boundary surface were considered in Polishchuk, A. D., 2005. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - II. Using the Double Layer Potential\",\"authors\":\"A. D. Polishchuk\",\"doi\":\"10.1109/DIPED.2006.314313\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of double layer potential in the Hilbert space elements of which have a jump through boundary surface were considered in Polishchuk, A. D., 2005. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface\",\"PeriodicalId\":183082,\"journal\":{\"name\":\"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2006.314313\",\"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 XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2006.314313","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
Polishchuk, a . D.， 2005考虑了利用希尔伯特空间中具有跳穿边界面的双层势在R3封闭曲面中构造拉普拉斯边值问题的边界算子的方法。研究了这些算子的性质。现在我们提出了这些方法，并研究了在疲劳边界曲面情况下对应算子的性质
Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - II. Using the Double Layer Potential
Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of double layer potential in the Hilbert space elements of which have a jump through boundary surface were considered in Polishchuk, A. D., 2005. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface
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