In this talk we analyse the spectrum of the dissipative Schrödinger operator on binary tree-shaped networks. As applications, we study the stability of the Schrödinger system using a Riesz basis as well as the transfer function associated to the system. Moreover, we study the dispersive effects associated to the Schrödinger operator with potential on star-shaped network and to the free Schrödinger operator on a tadpole graph.
Schrödinger operator on some graphs : stabilization and dispersive effects
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Nom de l'orateur
Kaïs Ammari
Etablissement de l'orateur
University of Monastir
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires