Entropy-cost inequalities for diffusion semigroups with curvature unbounded below
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- by Feng-Yu Wang PDF
- Proc. Amer. Math. Soc. 136 (2008), 3331-3338 Request permission
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.References
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Additional Information
- Feng-Yu Wang
- Affiliation: School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People’s Republic of China – and – Department of Mathematics, Swansea University, SA2 8PP, Wales, United Kingdom
- Email: wangfy@bnu.edu.cn, F.Y.Wang@swansea.ac.uk
- Received by editor(s): August 15, 2006
- Received by editor(s) in revised form: April 12, 2007
- Published electronically: May 5, 2008
- Additional Notes: This work was supported in part by the Creative Research Group Fund of the National Natural Science Foundation of China (No. 10121101) and RFDP(20040027009).
- Communicated by: Richard C. Bradley
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 3331-3338
- MSC (2000): Primary 58G32, 60J60
- DOI: https://doi.org/10.1090/S0002-9939-08-09237-X
- MathSciNet review: 2407100