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

Published online by Cambridge University Press:  11 July 2007

M. Faierman  and
M. Möller
M. Faierman
Affiliation:
Department of Mathematics, University of the Witwatersrand, WITS, 2050, South Africa
M. Möller
Affiliation:
Department of Mathematics, University of the Witwatersrand, WITS, 2050, South Africa
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Abstract

A mixed-order system of singular partial differential equations occurring in the study of rotating stars is considered. It is shown that the associated operator L0 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 1 , February 2000 , pp. 1 - 23
Copyright
Copyright © Royal Society of Edinburgh 2000

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