Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616546 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
We revisit two results of [3]; they are a logarithmic Sobolev inequality on RnRn with Lipschitz constants and an expression of Lipschitz constants as the limit of a functional by the entropy. We have two goals in this paper. The first goal is to clarify when the strict inequality holds in this inequality. The second goal is to investigate the asymptotic behavior of this functional by the Abelian and Tauberian theorems of Laplace transforms.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yasuhiro Fujita,