Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications
Analysis of PDEs
2019-04-09 v3
Abstract
We deal with the sharp asymptotic behaviour of eigenvalues of elliptic operators with varying mixed Dirichlet-Neumann boundary conditions. In case of simple eigenvalues, we compute explicitly the constant appearing in front of the expansion's leading term. This allows inferring some remarkable consequences for Aharonov-Bohm eigenvalues when the singular part of the operator has two coalescing poles.
Cite
@article{arxiv.1804.10569,
title = {Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications},
author = {Laura Abatangelo and Veronica Felli and Corentin Léna},
journal= {arXiv preprint arXiv:1804.10569},
year = {2019}
}
Comments
40 pages