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Spectral theorems of voigt type for linear Boltzmann equation with external field

 

作者: J. Banasiak,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1998）
卷期: Volume 27, issue 3-4  

页码: 241-255

 

ISSN:0041-1450

 

年代: 1998

 

DOI:10.1080/00411459808205623

 

出版商: Taylor & Francis Group

 

关键词: linear Boltzmann equation;perturbation of semigroups;spectral decomposition of semigroups.;47D03;82C40;34CIO

 

数据来源: Taylor

 

摘要:

In this paper we analyse some spectral properties of time dependent linear Boltzmann equation with external field in both spatially homogeneous and inhomogeneous cases. Under certain conditions on the field we recover the classical Voigt result that the essential spectrum of the full Boltzmann semigroup coincides with that of the transport semigroup. We also discuss an application of this result to the asymptotic analysis of Boltzmann equation.

 

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