Title of article
The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations
Author/Authors
Ivan Gentil، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
9
From page
591
To page
599
Abstract
We prove a general optimal Lp-Euclidean logarithmic Sobolev inequality by using Prékopa–Leindler inequality and a special Hamilton–Jacobi equation. In particular we generalize the inequality proved by Del Pino and Dolbeault in (J. Funt. Anal.).
Keywords
logarithmic Sobolev inequality , Optimal constants , Hamilton–Jacobi equations , Pre´kopa–Leindler inequality
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
761647
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