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.

Rights

Attribution 4.0 International

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