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Some spectral properties of the streaming operator with general boundary conditions

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Abstract

This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator K. We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un C 0-semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case ‖K‖ ⩾ 1. We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the solution of a characteristic equation.

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  1. LMCM, Université de Poitiers, 22 Rue des Canadiens, 86000, Poitiers, France

    Mohamed Boulanouar

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  1. Mohamed Boulanouar
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Correspondence to Mohamed Boulanouar.

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Boulanouar, M. Some spectral properties of the streaming operator with general boundary conditions. Appl Math 53, 1–12 (2008). https://doi.org/10.1007/s10492-008-0010-4

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  • DOI: https://doi.org/10.1007/s10492-008-0010-4

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