logarithmic sobolev inequality and exponential convergence of a markovian semigroup in the zygmund space
Clicks: 167
ID: 217990
2018
We investigate the exponential convergence of a Markovian semigroup in the Zygmund space under the assumption of logarithmic Sobolev inequality. We show that the convergence rate is greater than the logarithmic Sobolev constant. To do this, we use the notion of entropy. We also give an example of a Laguerre operator. We determine the spectrum in the Orlicz space and discuss the relation between the logarithmic Sobolev constant and the spectral gap.
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shigekawa2018entropylogarithmic
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| Authors | ;Ichiro Shigekawa |
| Journal | European journal of medicinal chemistry |
| Year | 2018 |
| DOI | 10.3390/e20040220 |
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