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Some spectral properties of the streaming operator with general boundary conditions

Mohamed Boulanouar — 2008

Applications of Mathematics

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...

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