English

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

Analysis of PDEs 2016-12-06 v1

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.

Keywords

Cite

@article{arxiv.1612.01330,
  title  = {Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole},
  author = {Laura Abatangelo and Veronica Felli},
  journal= {arXiv preprint arXiv:1612.01330},
  year   = {2016}
}