Boundary Perturbations of Steklov Eigenvalues
Spectral Theory
2026-01-21 v1 Differential Geometry
Abstract
We consider the dependence of non-zero Steklov eigenvalues on smooth perturbations of the domain boundary. We prove that these eigenvalues are generically simple under such boundary perturbations. This result complements our previous work on metric perturbations, thereby establishing generic simplicity Steklov eigenvalues under both fundamental geometric variations.
Keywords
Cite
@article{arxiv.2601.12077,
title = {Boundary Perturbations of Steklov Eigenvalues},
author = {Lihan Wang},
journal= {arXiv preprint arXiv:2601.12077},
year = {2026}
}