The essential spectrum of a non-elliptic boundary value problem

被引：14

作者：

Langer, H ^{[1
]}

Moller, M ^{[1
]}

机构：

[1] UNIV WITWATERSRAND, DEPT MATH, Johannesburg 2050, SOUTH AFRICA

来源：

MATHEMATISCHE NACHRICHTEN | 1996年 / 178卷

关键词：

essential spectrum; magnetohydrodynamics;

D O I：

10.1002/mana.19961780111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note a matrix partial differential operator is considered. It is shown that under certain conditions it defines a closed operator with nonempty resolvent set, and its essential spectrum is determined. In the symmetric case G.D. RAIKOV obtained earlier corresponding results (under slightly different assumptions) for the Friedrichs extension of the operator.

引用

页码：233 / 248

页数：16

共 9 条

[1] Adams R. A., 1975, SOBOLEV SPACES
[2] THE ESSENTIAL SPECTRUM OF SOME MATRIX OPERATORS
ATKINSON, FV
LANGER, H
MENNICKEN, R
SHKALIKOV, AA
[J]. MATHEMATISCHE NACHRICHTEN, 1994, 167 : 5 - 20
[3] Dunford N., 1963, LINEAR OPERATORS
[4] Gilbarg D., 1983, Grundlehren der MathematischenWissenschaften, V2nd ed., DOI 10.1007/978-3-642-61798-0
[5] Grisvard P, 2011, CLASS APPL MATH, V69, P1, DOI 10.1137/1.9781611972030
[6] Grisvard P., 1992, Singularities in Boundary Value Problems, V22
[7] Kato T., 1980, PERTURBATION THEORY
[8] Necas J., 1967, Les methodes directes en theorie des equations elliptiques
[9] Raikov G. D., 1990, Asymptotic Analysis, V3, P1

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