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

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