Spectral problems for operator matrices

被引：32

作者：

Bátkai, A

Binding, P

Dijksma, A

Hryniv, R

Langer, H ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

[2] ELTE TTK, Dept Appl Anal, H-1117 Budapest, Hungary

[3] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[4] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

[5] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine

来源：

MATHEMATISCHE NACHRICHTEN | 2005年 / 278卷 / 12-13期

关键词：

operator matrix; closability; essential spectrum; holomorphic semigroup; Sturm-Liouville problem; elliptic equation; delay equation;

D O I：

10.1002/mana.200310313

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study spectral properties of 2 x 2 block operator matrices whose entries are unbounded operators between Banach spaces and with domains consisting of vectors satisfying certain relations between their components. We investigate closability in the product space, essential spectra and generation of holomorphic semigroups. Application is given to several models governed by ordinary and partial differential equations, for example containing delays, floating singularities or eigenvalue dependent boundary conditions. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：1408 / 1429

页数：22

共 29 条

[1] ON EIGENFUNCTIONS AND ON EIGENVALUES OF GENERAL ELLIPTIC BOUNDARY VALUE PROBLEMS [J].