{"title":"疲劳曲面下拉普拉斯算子的边界算子构造。- 1 .使用简单层电位","authors":"A. D. Polishchuk","doi":"10.1109/diped.2006.314312","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 simple layer potential in the Hilbert space normal derivatives elements of which have a jump through boundary surface were considered. 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":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - I. Using the Simple Layer Potential\",\"authors\":\"A. D. Polishchuk\",\"doi\":\"10.1109/diped.2006.314312\",\"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 simple layer potential in the Hilbert space normal derivatives elements of which have a jump through boundary surface were considered. 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\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"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.2006.314312\",\"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.2006.314312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - I. Using the Simple 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 simple layer potential in the Hilbert space normal derivatives elements of which have a jump through boundary surface were considered. 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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