A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition
Probability
2025-03-25 v2 Analysis of PDEs
Differential Geometry
Spectral Theory
Abstract
We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bulk-boundary interactions. Our results are in the spirit of Cheeger's classical inequality.
Keywords
Cite
@article{arxiv.2503.16093,
title = {A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition},
author = {Marie Bormann},
journal= {arXiv preprint arXiv:2503.16093},
year = {2025}
}