Lower bounds for sums of eigenvalues of elliptic operators and systems

被引：0

作者：

Ilyin, A. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, MV Keldysh Appl Math Inst, Moscow, Russia

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Kharkevich Inst, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2013年 / 204卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Berezin-Li-Yau inequalities; Stokes operator; polyharmonic operator; buckling problem; LIEB-THIRRING INEQUALITIES; SPECTRUM;

D O I：

10.1070/SM2013v204n04ABEH004312

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two-term lower bounds of Berzin-Li-Yau type are obtained for the sums of eigenvalues of elliptic operators and systems with constant coefficients and Dirichlet boundary conditions. The polyharmonic operator, the Stokes system and its generalizations, the two-dimensional buckling problem, and also the Klein-Gordon operator are considered. Bibliography: 32 titles.

引用

页码：563 / 587

页数：25

共 50 条

[21] Stability of sums of operators
Gil’ M.
[J]. ANNALI DELL'UNIVERSITA' DI FERRARA, 2016, 62 (1) : 61 - 70
[22] MAJORIZATION BOUNDS FOR SIGNLESS LAPLACIAN EIGENVALUES
Maden, A. Dilek
Cevik, A. Sinan
[J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2013, 26 : 781 - 794
[23] Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids
Li, Youai
[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 11 (01) : 241 - 254
[24] Cwikel estimates and negative eigenvalues of Schrodinger operators on noncommutative tori
McDonald, Edward
Ponge, Raphael
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (04)
[25] Sums of Magnetic Eigenvalues are Maximal on Rotationally Symmetric Domains
Laugesen, Richard S.
Liang, Jian
Roy, Arindam
[J]. ANNALES HENRI POINCARE, 2012, 13 (04): : 731 - 750
[26] Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators
Maria Neophytou
[J]. Integral Equations and Operator Theory, 2015, 81 : 97 - 111
[27] Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators
Neophytou, Maria
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 81 (01) : 97 - 111
[28] ESTIMATES FOR THE SUMS OF EIGENVALUES OF THE FRACTIONAL LAPLACIAN ON A BOUNDED DOMAIN
Yolcu, Selma Yildirim
Yolcu, Turkay
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2013, 15 (03)
[29] Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian
Chen, Huyuan
Veron, Laurent
[J]. ADVANCES IN CALCULUS OF VARIATIONS, 2023, 16 (03) : 541 - 558
[30] On eigenvalues of a system of elliptic equations and of the biharmonic operator
Chen, Daguang
Cheng, Qing-Ming
Wang, Qiaoling
Xia, Changyu
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 1146 - 1159

← 1 2 3 4 5 →