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Functional inequalities for sticky-reflecting diffusion processes on manifolds

发布时间:2024-11-21阅读次数:10

We prove an upper bound for the Poincare constant for diffusion processes on manifolds with sticky reflecting boundary diffusion under general curvature conditions. This corresponds to bounding from below the first nontrivial eigenvalue of the Laplace operator with Wentzell-type boundary condition. We also investigate the logarithmic Sobolev, super and weak Poincare inequalities.

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