$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity
Analysis of PDEs
2025-03-31 v2 Spectral Theory
Abstract
We prove that the Steklov eigenfunctions on convex domains of are regular by adapting a classical argument combined with the Rellich-Pohozaev identity.
Cite
@article{arxiv.2503.19852,
title = {$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity},
author = {Pier Domenico Lamberti and Luigi Provenzano},
journal= {arXiv preprint arXiv:2503.19852},
year = {2025}
}