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Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion (2106.00080v1)
Published 31 May 2021 in math.PR, math.DG, and math.FA
Abstract: Introducing an interpolation method we estimate 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.
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