New approach to streaming semigroups with dissipative boundary conditions
Texas State University-San Marcos, Department of Mathematics
This paper concerns the generation of a C0-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 .
Streaming operator, General boundary conditions, Semigroup
Boulanouar, M. (2007). New approach to streaming semigroups with dissipative boundary conditions. <i>Electronic Journal of Differential Equations, 2007</i>(167), pp. 1-13.