New approach to streaming semigroups with dissipative boundary conditions
Date
2007-12-03
Authors
Boulanouar, Mohamed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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].
Description
Keywords
Streaming operator, General boundary conditions, Semigroup
Citation
Boulanouar, M. (2007). New approach to streaming semigroups with dissipative boundary conditions. <i>Electronic Journal of Differential Equations, 2007</i>(167), pp. 1-13.