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Comptes Rendus Mathématique
Volume 348, n° 9-10
pages 549-552 (mai 2010)
Doi : 10.1016/j.crma.2010.04.005
Received : 10 August 2009 ;  accepted : 31 Mars 2010
Nouveaux résultats pour les équations de la neutronique (II)
New results for neutronic equations (II)
 

Mohamed Boulanouar
LMCM-RMI, 22, rue des canadiens, 86000 Poitiers, France 

Résumé

Dans cette Note, nous étudions l’équation de transport munie des conditions aux limites générales. Grâce à une hypothèse de petitesse sur l’opérateur de bords, nous montrons que cette équation est gouvernée, sur son espace naturel  , par un  -semi-groupe.

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Abstract

This Note deals with the transport equation endowed with general boundary conditions. Thanks to a smallness hypothesis upon the boundary operator, we prove this equation is governed by a  -semigroup into its natural space  .

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