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

Denis I. Borisov
{"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}
引用次数: 17

摘要

研究了边界条件频繁交替的圆柱体拉普拉斯算子的奇异摄动特征值问题。构造了特征元的渐近性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信