Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks
Analysis of PDEs
2025-10-20 v2 Spectral Theory
Abstract
We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is allowed, and the resulting asymptotic expansions reflect both the sharpness of the peak and the geometric shape of its cross-section. The results are an extension of previous works dealing with peaks whose cross-sections are balls.
Cite
@article{arxiv.2504.04996,
title = {Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks},
author = {Konstantin Pankrashkin and Firoj Sk and Marco Vogel},
journal= {arXiv preprint arXiv:2504.04996},
year = {2025}
}
Comments
32 pages, 2 figures