Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 167, pp. 1-13.

Title: New approach to streaming semigroups
       with dissipative boundary conditions

Author: Mohamed Boulanouar (Univ. of Poitiers, France)

Abstract: 
 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 03, 2007.
Math Subject Classifications: 47D06.
Key Words: Streaming operator; general boundary conditions; semigroup