Electron. J. Diff. Equ., Vol. 2010(2010), No. 18, pp. 1-9.

Transport operator on phase spaces with finite time of sojourn property

Mohamed Boulanouar

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
email: boulanouar@free.fr

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