Electron. J. Diff. Eqns.,
Vol. 2007(2007), No. 167, pp. 1-13.
New approach to streaming semigroups
with dissipative boundary conditions
Mohamed Boulanouar
Abstract:
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 [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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