Some Compactness and Interpolation Results for Linear Boltzmann Equation

We discuss some compactness results in Lp  (1≤p<∞) spaces related to the spectral theory of neutron transport equations for general classes of collision operators and Radon measures having velocity spaces as supports covering most physical models. We show in particular that the asymptotic spectru...

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Bibliographic Details
Main Authors: Nadjeh Redjel, Abdelkader Dehici
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/370294
Description
Summary:We discuss some compactness results in Lp  (1≤p<∞) spaces related to the spectral theory of neutron transport equations for general classes of collision operators and Radon measures having velocity spaces as supports covering most physical models. We show in particular that the asymptotic spectrum of the transport operator is independent of p.
ISSN:2314-8896
2314-8888