The spectral decomposition for a class of linear transport operators

C. Cercignani; V. Protopopescu

doi:10.1007/BF01020792

The spectral decomposition for a class of linear transport operators

C. Cercignani
, V. Protopopescu

Research output: Contribution to journal › Article › peer-review

Abstract

The spectral decomposition theorem is proved for linear transport operators with separable scattering kernels and energy-dependent collision frequency in both one- and three-dimensional geometries.

Original language	English
Pages (from-to)	363-374
Number of pages	12
Journal	Journal of Statistical Physics
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/BF01020792
State	Published - Oct 1982
Externally published	Yes

Keywords

Linear transport (Boltzmann) operator
generalized eigenfunction expansion
spectral decomposition
two-dimensional spectrum

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10.1007/BF01020792

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title = "The spectral decomposition for a class of linear transport operators",

abstract = "The spectral decomposition theorem is proved for linear transport operators with separable scattering kernels and energy-dependent collision frequency in both one- and three-dimensional geometries.",

keywords = "Linear transport (Boltzmann) operator, generalized eigenfunction expansion, spectral decomposition, two-dimensional spectrum",

author = "C. Cercignani and V. Protopopescu",

year = "1982",

month = oct,

doi = "10.1007/BF01020792",

language = "English",

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pages = "363--374",

journal = "Journal of Statistical Physics",

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AU - Protopopescu, V.

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AB - The spectral decomposition theorem is proved for linear transport operators with separable scattering kernels and energy-dependent collision frequency in both one- and three-dimensional geometries.

KW - Linear transport (Boltzmann) operator

KW - generalized eigenfunction expansion

KW - spectral decomposition

KW - two-dimensional spectrum

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M3 - Article

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VL - 29

SP - 363

EP - 374

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 2

ER -

The spectral decomposition for a class of linear transport operators

Abstract

Keywords

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