A localized boundary deformation which splits the spectrum of the Laplacian
Analysis of PDEs
2017-06-13 v1 Spectral Theory
Abstract
For any Lipschitz domain we construct an arbitrarily small, localized perturbation which splits the spectrum of the Laplacian into simple eigenvalues. We use for this purpose a Hadamard's formula and spectral stability results.
Keywords
Cite
@article{arxiv.1706.03555,
title = {A localized boundary deformation which splits the spectrum of the Laplacian},
author = {Alexander Dabrowski},
journal= {arXiv preprint arXiv:1706.03555},
year = {2017}
}
Comments
8 pages