{"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}
引用次数: 0
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.
期刊介绍：
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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