Abstract
This paper is devoted to the properties of the generated semigroup by the transport operator in slab geometry with general boundary conditions defined by means of a boundary operator. Under some suitable hypothesis we show that the transport operator generates a strongly continuous semigroup and study its positivity and irreducibility. We also give the asymptotic behavior of the generated semigroup in the operator norm topology.
1991 Mathematics Subject Classification:
Acknowledgments
The author wishes to thank J. Y. Chamard for his help. This research was supported by LMCM-RMI.