Modified curvatures on manifolds with boundary and applications

DOI10.1007/s11118-014-9389-6zbMath1308.58022arXiv1102.3552OpenAlexW1968843098MaRDI QIDQ462303

Feng-Yu Wang

Publication date: 20 October 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3552

zbMATH Keywords

gradient estimatesecond fundamental formcurvaturelog-Harnack and log-Sobolev inequalitiesNeumann semigroup

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Heat equation (35K05) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Boundary value problems on manifolds (58J32)

Related Items (6)

Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds ⋮ Wasserstein contraction and Poincaré inequalities for elliptic diffusions with high diffusivity ⋮ Equivalent Harnack and gradient inequalities for pointwise curvature lower bound ⋮ Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes ⋮ Functional inequalities on manifolds with non-convex boundary ⋮ A Feynman-Kac approach for logarithmic Sobolev inequalities

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• The geometry of Markov diffusion generators

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