Spectral stability under removal of small segments
Spectral Theory
2024-02-27 v4
Abstract
In the present paper we deepen the works of L. Abatangelo, V. Felli, L. Hillairet and C. Lena on the asymptotic estimates of the eigenvalue variation under removal of segments from the domain in R2. We get a sharp asymptotic estimate when the eigenvalue is simple and the removed segment is tangent to a nodal line of the associated eigenfunction. Moreover, we extend their results to the case when the eigenvalue is not simple.
Cite
@article{arxiv.2309.14754,
title = {Spectral stability under removal of small segments},
author = {Xiang He},
journal= {arXiv preprint arXiv:2309.14754},
year = {2024}
}
Comments
to appear in Proceedings of the American Mathematical Society