Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 92, pp. 1-7.

Title: Approximation in the sense of Kato for the transport problem

Authors: Mohamed Amine Cherif (Univ. de Poitiers, Cedex, France)
         Hassan Emamirad  (Univ. de Poitiers, Cedex, France)

Abstract: 
 Using Chernoff's Theorem, we present an approximation of
 the family $\{S(t): t\ge 0\}$ that converges
 in the sense of Kato to the transport semigroup.
  
Submitted July 6, 2009. Published August 06, 2009.
Math Subject Classifications: 65M12, 65J10.
Key Words: Convergence in the Kato sense; transport semigroup.