Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
arXiv:2106.00080
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.
23 pages