On the spectral theory of sign-changing Laplace operators
Analysis of PDEs
2025-02-07 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We study spectral theory of sign-changing Laplace operators using semi-classical Dirichlet-to-Neumann maps. We prove the existence of modesconcentrated on the interface and describe an effective semi-classical equation for them.
Keywords
Cite
@article{arxiv.2502.03838,
title = {On the spectral theory of sign-changing Laplace operators},
author = {Yves Colin de Verdière},
journal= {arXiv preprint arXiv:2502.03838},
year = {2025}
}