Fredholm Operators, Essential Spectra and Application to Transport Equations

Fredholm Operators, Essential Spectra and Application to Transport Equations

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...

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Veröffentlicht in:Acta applicandae mathematicae 2005-12, Vol.89 (1-3), p.155-176
Hauptverfasser: Jeribi, Aref, Mnif, Maher
Format: Artikel
Sprache:eng
Schlagworte:
Atoms & subatomic particles
Banach space
Banach spaces
Boundary conditions
Eigenvalues
Linear operators
Mathematics
Operators
Perturbation methods
Spectra
Spectral lines
Studies
Transport equations
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Zusammenfassung: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.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-005-9005-2