Electron. J. Diff. Eqns., Vol. 2009(2009), No. 92, pp. 1-7.

Approximation in the sense of Kato for the transport problem

Mohamed Amine Cherif, Hassan Emamirad

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 6, 2009.
Math Subject Classifications: 65M12, 65J10.
Key Words: Convergence in the Kato sense; transport semigroup.

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Mohamed Amine Cherif
Laboratoire de Mathématiques, Université de Poitiers
Teleport 2, BP 179, 86960 Chassneuil du Poitou, Cedex, France.
I.P.E.I.S., boite postale 805, Sfax 3000, Tunisie
email: mohamedamin.cherif@yahoo.fr
Hassan Emamirad
Laboratoire de Mathématiques, Université de Poitiers.
Teleport 2, BP 179, 86960 Chassneuil du Poitou, Cedex, France
email: emamirad@math.univ-poitiers.fr

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