UN PROBLEMA TRIDIMENSIONALE DI TRASPORTO FUORI DI UNA SFERA RIFLETTENTE
Abstract
In this paper we study the linear monoenergetic Boltzmann equation in the space
external to a sphere ofradius n> f} with specular refiectionboundary conditions- By means oftheory
of linear positive operator semigroups in Banach spaces we Show that streaming operator is the
infinitesimal generator ofa strongly continuous; semigroup of positive contractions. of which we
give the explicit form, and that Boltzmann ope rator is the infinitesimal generator of an irreducible
Strongly continuous semigroup- Moreover we study completely the spectrum of streaming
operator,
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Copyright (c) 1991 Franco Eugeni
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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.