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Entropy-cost inequalities for diffusion semigroups with curvature unbounded below
Author(s):
Feng-Yu
Wang
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3331-3338.
MSC (2000):
Primary 58G32, 60J60
Posted:
May 5, 2008
MathSciNet review:
2407100
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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.
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
DOI:
10.1090/S0002-9939-08-09237-X
PII:
S 0002-9939(08)09237-X
Keywords:
Curvature,
diffusion semigroup,
entropy-cost inequality,
log-Sobolev inequality.
Received by editor(s):
August 15, 2006,
Received by editor(s) in revised form:
April 12, 2007
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
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