Corpus ID: 235265958

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

  title={Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion},
  author={Vitalii Konarovskyi and Victor Marx and M. Renesse},
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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