Electron. J. Diff. Eqns., Vol. 2007(2007), No. 167, pp. 1-13.

New approach to streaming semigroups with dissipative boundary conditions

Mohamed Boulanouar

This paper concerns the generation of a $C_0$-semigroup by a streaming operator with general dissipative boundary conditions. Here, we give a third approach based on the construction of the generated semigroup without using the Hille-Yosida's Theorem. The first approach, based on the Hille-Yosida's Theorem, was given by Dautray [8], Protopopescu [9] and Voigt [10]. The second approach, based on the characteristic method, was given by Beals [1] and Protopopescu [9].

Submitted September 6, 2007. Published December 3, 2007.
Math Subject Classifications: 47D06.
Key Words: Streaming operator; general boundary conditions; semigroup

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Mohamed Boulanouar
LMCM, University of Poitiers
22 rue des Canadiens, Poitiers, France
email: boulanouar@free.fr

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