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- W2079296312 abstract "For the reflected diffusion generated by L=Δ−∇V⋅∇ on a connected and complete Riemannian manifold M with empty or convex boundary, we establish some sharp estimates of supx∈M|∇G|(x) of the Poisson equation −LG=g in terms of the dimension, the diameter and the lower bound of curvature. Applications to transportation-information inequality, to Cheeger's isoperimetric inequality and to Gaussian concentration inequality are given. Several examples are provided." @default.
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- W2079296312 date "2009-12-01" @default.
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- W2079296312 title "Gradient estimates of Poisson equations on Riemannian manifolds and applications" @default.
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- W2079296312 doi "https://doi.org/10.1016/j.jfa.2009.07.013" @default.
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