Fredholm Operators, Essential Spectra and Application to Transport Equations |
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| Authors: | Aref Jeribi Maher Mnif |
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| Affiliation: | (1) Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra, Km 3.5, B.P. 802, 3018 Sfax, Tunisia;(2) Département de Mathématiques, Université de Sfax, I.P.E.I. Sfax, Route de M. Chaker, Km 0.5, B.P. 805, 3000 Sfax, Tunisia |
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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. |
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| Keywords: | transport equation Fredholm operators essential spectra |
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