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Springer, Cham

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10.1007/978-3-319-11322-7_7

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Spectral Theory for Neutron Transport

Authors: Mustapha MokhtarKharroubi
Publish Date: 2015
Volume: , Issue: , Pages: 319-386
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Abstract

These notes resume a lecture given in the Cimpa School “Evolutionary equations with applications in natural sciences” held in South Africa Muizenberg July 22–August 2 2013 However the oral style of the lecture has been changed and the bibliography augmented This version benefited also from helpful remarks and suggestions of a referee whom I would like to thank The notes deal with various functional analytic tools and results around spectral analysis of neutron transportlike operators A first section gives a detailed introduction mostly without proofs to fundamental concepts and results on spectral theory of nonselfadjoint operators in Banach spaces in particular we provide an introduction to spectral analysis of semigroups in Banach spaces and its consequences on their time asymptotic behaviour as time goes to infinity


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