The Dual Hamilton–Jacobi Equation and the Poincaré Inequality

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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Bibliografische gegevens
Hoofdauteurs: Rigao He, Wei Wang, Jianglin Fang, Yuanlin Li
Formaat: Artikel
Taal:English
Gepubliceerd in: MDPI AG 2024-12-01
Reeks:Mathematics
Onderwerpen:
the logarithmic Sobolev inequality
Hamilton–Jacobi equation
the Prékopa–Leindler inequality
Poincaré inequality
the Brunn–Minkowski inequality
Online toegang:https://www.mdpi.com/2227-7390/12/24/3927

Internet

https://www.mdpi.com/2227-7390/12/24/3927

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