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The general optimal L-Euclidean logarithmic Sobolev inequality by Hamilton-Jacobi equations |
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| Authors: | Ivan Gentil |
| Institution: | Université Paul Sabatier LSP, 118 route de Narbonne, 31062 Toulouse cedex 431062, France |
| 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 Pré kopa-Leindler inequality Hamilton-Jacobi equations Optimal constants |
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