In this article, the transport operator with general boundary conditions is discussed. According to a smallness hypothesis on the boundary operator and to finite time of sojourn property of phase spaces, we prove that the transport operator generates a strongly continuous semigroup and we give its upper bound.
Submitted November 29, 2009. Published January 27, 2010.
Math Subject Classifications: 47D06, 82D75.
Key Words: Positivity; strongly continuous semigroups; transport operator.
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| Mohamed Boulanouar |
LMCM-RMI, Poitiers, France
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