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arXiv · 2106.00080

Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion

Vitalii Konarovskyi·Victor Marx·Max von Renesse
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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.

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Vitalii Konarovskyi, Victor Marx, Max von Renesse. 2021-05-31. Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion. https://arxiv.org/abs/2106.00080

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