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Transport Theory and Statistical Physics Volume 26, 1997 - Issue 1-2
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Original Articles

Some notes on the spectral properties of Co semigroups generated by linear transport operators

Song Degong Department of Mathematics Xi'an, Jiaotong University, Xi'an, Shaanxi, 710049, P.R. China
Pages 233-242 | Received 15 Mar 1996, Accepted 15 Jul 1996, Published online: 20 Aug 2006
 
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Abstract

The main aim of this paper is to investigate some aspects of the spectral properties of strongly continuous semigroups generated by linear transport operator. These properties are closely related to the large time behavior of time dependent solutions of transport equations. Our attention is focused on the transport equations with reentry boundary conditions. A class of abstract kinetic systems is studied, and, as applications, some transport equations are investigated.

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