Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
arXiv (Cornell University)(2021)
摘要
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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关键词
spectral gap estimates,boundary diffusion,brownian motion,domains,sticky-reflecting
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