A resolvent approach to the stability of essential and critical spectra of perturbed C 0-semigroups on Hilbert spaces with applications to transport theory

Mohammed Sbihi (1)

1 MAIAA - ENAC - Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l'Aérien

We give sufficient conditions in terms of resolvents implying the stability of the essential or critical spectra of perturbed C 0-semigroups on Hilbert spaces. We also show how these results apply to transport theory.

Mots clés: Resolvent approach; perturbed C0-semigroup; critical spectrum; essential spectrum; neutron transport theory

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]; Recherche opérationnelle [math.OC]

Mohammed Sbihi. A resolvent approach to the stability of essential and critical spectra of perturbed C 0-semigroups on Hilbert spaces with applications to transport theory. Journal of Evolution Equations, 2007, ⟨10.1007/s00028-006-0226-2⟩. ⟨hal-01239915⟩