Le professeur Hatem Megdiche de l’université de Sfax est en visite au département de mathématiques du 19 au 24/12. Il donnera une conférence le vendredi 23/12/2022 à 9 h en salle du séminaire de département de maths.
Titre
On a resolvent approach for perturbed semigroups and application to $L^1$-neutron transport theory
Abstract
We give new sufficient and practical conditions in terms of the generators ensuring the stability of the critical or the essential type of a perturbed $C_0$-semigroup in general Banach spaces. We apply our theoretical results in order to investigate the control and in particular the time asymptotic behavior of solutions to a broad class of transport equations in $L^1$-spaces and higher dimensions. Our results improve, complete and enrich several earlier works.
