Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole

2016/12/05 by Abatangelo, Laura, Felli, Veronica
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.01330

Abstract

We study the behavior of eigenfunctions for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We prove a sharp estimate for the rate of convergence of eigenfunctions as the pole moves in the interior of the domain.

Related

• Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with\n varying poles
• On the eigenvalues of Aharonov-Bohm operators with varying poles: pole approaching the boundary of the domain
• Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles
• On the leading term of the eigenvalue variation for Aharonov-Bohm\n operators with a moving pole
• On multiple eigenvalues for Aharonov-Bohm operators in planar domains