Weak spectral mapping theorems for C0-groups associated to transport equations in slab geometry

Bertrand Lods (1) , Khalid Null Latrach (1) , Mustapha Mokhtar-Kharroubi (2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

We show in this paper that the C0-groups governing neutron transport equations with reflecting boundary conditions in slab geometry satisfy a weak spectral mapping theorem in any Lp spaces 1 =

Domaines: Equations aux dérivées partielles [math.AP]

Bertrand Lods, Khalid Null Latrach, Mustapha Mokhtar-Kharroubi. Weak spectral mapping theorems for C0-groups associated to transport equations in slab geometry. Journal of Mathematical Analysis and Applications, 2008, 342 (2), pp.1038-1051. ⟨10.1016/j.jmaa.2007.12.037⟩. ⟨hal-00472096⟩