On the essential spectrum of a differentially rotating star in the axisymmetric case

Authors
Faierman, M Moller, M
Citation
M. Faierman et M. Moller, On the essential spectrum of a differentially rotating star in the axisymmetric case, P RS EDIN A, 130, 2000, pp. 1-23
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
1
Pages
1 - 23
Database
ISI
SICI code
0308-2105(2000)130:<1:OTESOA>2.0.ZU;2-5
Abstract
A mixed-order system of singular partial differential equations occurring i n the study of rotating stars is considered. It is shown that the associate d operator L-0 is closable and that the essential spectrum of its closure L coincides with the essential spectrum of a bounded operator. Finally: some parts of the essential spectrum of L are determined explicitly.