scholarly journals Some Compactness and Interpolation Results for Linear Boltzmann Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Nadjeh Redjel ◽  
Abdelkader Dehici
Keyword(s):  
Boltzmann Equation ◽  
Spectral Theory ◽  
Neutron Transport ◽  
Transport Equations ◽  
Physical Models ◽  
Linear Boltzmann Equation ◽  
Radon Measures ◽  
Asymptotic Spectrum ◽  
Transport Operator ◽  
Neutron Transport Equations

We discuss some compactness results inLp  (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 ofp.

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