Departamento de Matemáticas UAM

VERONICA FELLI

(Università di Milano Bicocca, Italia)





Día: Jueves 28 de mayo de 2015.
Hora: 11:30
Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM.




"Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators
with varying poles"







ABSTRACT:



 In this talk, I will present some results obtained in collaboration
with L. Abatangelo about the behavior of eigenvalues of a magnetic
Aharonov-Bohm operator with half-integer circulation and Dirichlet
boundary conditions in a planar domain. An approach based on energy
estimates, obtained through Almgren-type monotonicity arguments for
magnetic operators, together with a sharp blow-up analysis is
developed to provide sharp asymptotics for eigenvalues as the pole is
moving in the interior of the domain approaching a zero of an
eigenfunction of the limiting problem.