Variational principles and eigenvalue estimates for unbounded block operator matrices and applications

被引：18

作者：

Kraus, M

Langer, M

Tretter, C

机构：

[1] Univ Bremen, FB Math 2, D-28359 Bremen, Germany

[2] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[3] Vienna Tech Univ, Inst Anal & Sci Comp, A-1040 Vienna, Austria

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 171卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

variational principle for eigenvalues; estimates for eigenvalues; asymptotic distribution of eigenvalues; quadratic numerical range; magnetohydrodynamics; warped product of spin manifolds; Dirac operator;

D O I：

10.1016/j.cam.2004.01.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish variational principles, eigenvalue estimates and asymptotic formulae for eigenvalues of three different classes of unbounded block operator matrices. The results allow to characterise eigenvalues that are not necessarily located at the boundary of the spectrum. Applications to an example from magnetohydrodynamics and to Dirac operators on certain manifolds are given. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：311 / 334

页数：24

共 19 条

[1] THE ESSENTIAL SPECTRUM OF SOME MATRIX OPERATORS [J].