New approach to streaming semigroups with dissipative boundary conditions

Abstract

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 [8], Protopopescu [9] and Voigt [10]. The second approach, based on the characteristic method, was given by Beals [1] and Protopopescu [9].