# On Aharonov-Bohm operators with moving poles – Veronica Felli (Università di Milano bicocca)

#### Venue

Sala Seminari (Dip. Matematica).

#### Abstract

In this talk, I will present some results in collaboration with L. Abatangelo (Milano-Bicocca), L. Hillairet (Orléans), C. Léna (Torino), B. Noris (Amiens), M. Nys (Torino), concerning the behavior of the eigenvalues of Aharonov-Bohm operators with one moving pole or two colliding poles. In both cases of poles moving inside the domain and approaching the boundary, the rate of the eigenvalue variation is estimated in terms of the vanishing order of some limit eigenfunction. An accurate blow-up analysis for scaled eigenfunctions will be presented too.

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