Vortrag: "Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators"
Veronica Felli (Università di Milano-Bicocca)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2017/2017-07-13
- Vortrag: "Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators"
- 2017-07-13T14:15:00+02:00
- 2017-07-13T16:00:00+02:00
- Veronica Felli (Università di Milano-Bicocca)
13.07.2017 von 14:15 bis 16:00 (Europe/Berlin / UTC200)
Hörsaal (1. Stock, Raum 111) im Mathematischen Institut, Arndtstraße 2
ABSTRACT
In this talk, I will first describe the sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenvalue variation, as a removed compact set concentrates at that point. Then I will discuss some applications of this spectral stability to the study of the asymptotic behaviour of eigenvalues of Aharonov-Bohm operators with two colliding poles. The talk is based on results obtained in collaboration with L. Abatangelo (Milano-Bicocca), C. Léna
(Torino) and L. Hillairet (Orléans).