Acta Applicandae Mathematica

, Volume 89, Issue 1–3, pp 155–176 | Cite as

Fredholm Operators, Essential Spectra and Application to Transport Equations

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Abstract

In this paper the essential spectra of closed, densely defined linear operators is characterized on a Banach spaces under perturbations of n-strictly power compact operators. Further we apply the obtained results to investigate the essential spectra of one-dimensional transport equation with general boundary conditions and the essential spectra of singular neutron transport equations in bounded geometries.

Key words

transport equation Fredholm operators essential spectra 

Mathematics Subject Classifications (1991)

Primary 47A55, 47D03, 47N20 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Département de Mathématiques, Faculté des Sciences de SfaxUniversité de SfaxSfaxTunisia
  2. 2.Département de MathématiquesUniversité de SfaxSfaxTunisia

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