{"title":"具有频繁交替边界条件的圆柱拉普拉斯方程特征元的渐近性","authors":"Denis I. Borisov","doi":"10.1016/S1620-7742(01)01389-7","DOIUrl":null,"url":null,"abstract":"<div><p>The singular perturbed eigenvalue problem for the Laplace operator in a cylindrical body with frequently alternating boundary conditions is considered. The asymptotics for the eigenelements are constructed.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 10","pages":"Pages 717-721"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01389-7","citationCount":"17","resultStr":"{\"title\":\"The asymptotics for the eigenelements of the Laplacian in a cylinder with frequently alternating boundary conditions\",\"authors\":\"Denis I. Borisov\",\"doi\":\"10.1016/S1620-7742(01)01389-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The singular perturbed eigenvalue problem for the Laplace operator in a cylindrical body with frequently alternating boundary conditions is considered. The asymptotics for the eigenelements are constructed.</p></div>\",\"PeriodicalId\":100302,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics\",\"volume\":\"329 10\",\"pages\":\"Pages 717-721\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01389-7\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1620774201013897\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1620774201013897","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The asymptotics for the eigenelements of the Laplacian in a cylinder with frequently alternating boundary conditions
The singular perturbed eigenvalue problem for the Laplace operator in a cylindrical body with frequently alternating boundary conditions is considered. The asymptotics for the eigenelements are constructed.