{"title":"有界开集上一对自伴随椭圆微分算子的谱稳定性问题","authors":"V. Burenkov, B.Th. Tuyen","doi":"10.32523/2077-9879-2019-10-3-84-88","DOIUrl":null,"url":null,"abstract":"where H and M are self-adjoint elliptic differential operators of orders 2k, 2m respectively, where k,m ∈ N,m < k, and Ω is an arbitrary bounded open set in R . Sharp estimates for the variation of the eigenvalues upon domain perturbation will be presented. This work was supported by the grants of the Russian Science Foundation (project no. 19-11-00087) and of the Russian Foundation for Basic Research (project no. 18-51-06005). Based on joint work with Tamara Tararykova and Bien Thanh Tuyen.","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON SPECTRAL STABILITY PROBLEM FOR A PAIR OF SELF-ADJOINT ELLIPTIC DIFFERENTIAL OPERATORS ON BOUNDED OPEN SETS\",\"authors\":\"V. Burenkov, B.Th. Tuyen\",\"doi\":\"10.32523/2077-9879-2019-10-3-84-88\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"where H and M are self-adjoint elliptic differential operators of orders 2k, 2m respectively, where k,m ∈ N,m < k, and Ω is an arbitrary bounded open set in R . Sharp estimates for the variation of the eigenvalues upon domain perturbation will be presented. This work was supported by the grants of the Russian Science Foundation (project no. 19-11-00087) and of the Russian Foundation for Basic Research (project no. 18-51-06005). Based on joint work with Tamara Tararykova and Bien Thanh Tuyen.\",\"PeriodicalId\":44248,\"journal\":{\"name\":\"Eurasian Mathematical Journal\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Eurasian Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32523/2077-9879-2019-10-3-84-88\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Eurasian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2077-9879-2019-10-3-84-88","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
式中，H、M分别为2k、2m阶的自伴随椭圆微分算子，其中k, M∈N, M < k， Ω为R中的任意有界开集。对特征值在域扰动下的变化将给出尖锐的估计。这项工作得到了俄罗斯科学基金会的资助(项目编号:1)。19-11-00087)和俄罗斯基础研究基金会(项目编号:18-51-06005)。基于与Tamara Tararykova和Bien Thanh Tuyen的联合工作。
ON SPECTRAL STABILITY PROBLEM FOR A PAIR OF SELF-ADJOINT ELLIPTIC DIFFERENTIAL OPERATORS ON BOUNDED OPEN SETS
where H and M are self-adjoint elliptic differential operators of orders 2k, 2m respectively, where k,m ∈ N,m < k, and Ω is an arbitrary bounded open set in R . Sharp estimates for the variation of the eigenvalues upon domain perturbation will be presented. This work was supported by the grants of the Russian Science Foundation (project no. 19-11-00087) and of the Russian Foundation for Basic Research (project no. 18-51-06005). Based on joint work with Tamara Tararykova and Bien Thanh Tuyen.
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Publication of carefully selected original research papers in all areas of mathematics written by mathematicians first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Mathematical Journal will also publish survey papers.
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