Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 18, pp. 1-9.

Title: Transport operator on phase spaces with finite 
       time of sojourn property
       
Author: Mohamed Boulanouar (LMCM-RMI, Poitiers, France)

Abstract: 
 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.