This paper concerns the generation of a -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 , Protopopescu  and Voigt . The second approach, based on the characteristic method, was given by Beals  and Protopopescu .
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
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