Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
Probability
2026-03-02 v2 Differential Geometry
Functional Analysis
Abstract
Introducing an interpolation method we derive lower bounds for the spectral gap for Brownian motion on general domains with sticky-reflecting boundary diffusion associated to the first nontrivial eigenvalue for the Laplace operator with corresponding Wentzell-type boundary condition. In the manifold case our proofs involve novel applications of the celebrated Reilly formula.
Keywords
Cite
@article{arxiv.2106.00080,
title = {Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion},
author = {Vitalii Konarovskyi and Victor Marx and Max von Renesse},
journal= {arXiv preprint arXiv:2106.00080},
year = {2026}
}
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23 pages