The Dual Hamilton–Jacobi Equation and the Poincaré Inequality
Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic Sobolev inequalities and the hypercontractivit...
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Main Authors: | Rigao He, Wei Wang, Jianglin Fang, Yuanlin Li |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2024-12-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/12/24/3927 |
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