On the leading term of the eigenvalue variation for Aharonov-Bohm operators with a moving pole
Analysis of PDEs
2015-05-29 v2
Abstract
We study the behavior of eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyse the leading term in the Taylor expansion of the eigenvalue function as the pole moves in the interior of the domain, proving that it is a harmonic homogeneous polynomial and detecting its exact coefficients.
Keywords
Cite
@article{arxiv.1505.05280,
title = {On the leading term of the eigenvalue variation for Aharonov-Bohm operators with a moving pole},
author = {Laura Abatangelo and Veronica Felli},
journal= {arXiv preprint arXiv:1505.05280},
year = {2015}
}
Comments
26 pages, 1 figure