Entropy-cost inequalities for diffusion semigroups with curvature unbounded below

Wang, Feng-Yu

doi:10.1090/S0002-9939-08-09237-X

Entropy-cost inequalities for diffusion semigroups with curvature unbounded below
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by Feng-Yu Wang

Proc. Amer. Math. Soc. 136 (2008), 3331-3338

DOI: https://doi.org/10.1090/S0002-9939-08-09237-X

Published electronically: May 5, 2008

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Abstract:

The weighted log-Sobolev inequality and the entropy-cost inequality are established for a class of diffusion semigroups with curvature unbounded below. Concrete examples are presented to illustrate the main results.

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