Electron. J. Diff. Eqns., Vol. 2008(2008), No. 155, pp. 1-11.

New approach to streaming semigroups with multiplying boundary conditions

Mohamed Boulanouar

This paper concerns the generation of a C_0-semigroup by the streaming operator with general multiplying boundary conditions. A first approach, presented in [2], is based on the Hille-Yosida's Theorem. Here, we present a second approach based on the construction of the generated semigroup, without using the Hille-Yosida's Theorem.

Submitted May 15, 2008. Published November 12, 2008.
Math Subject Classifications: 47D06.
Key Words: Streaming operator; general boundary conditions; semigroup.

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Mohamed Boulanouar
LMCM, Université de Poitiers
86000, Poitiers, France
email: boulanouar@free.fr

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