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The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations. - MaRDI portal

The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations. (Q1406460)

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scientific article; zbMATH DE number 1974911
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The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.
scientific article; zbMATH DE number 1974911

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    The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations. (English)
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    4 September 2003
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    The author presents a general optimal \(L^p\)-Euclidean logarithmic Sobolev inequality by using the Prẹkopa-Leinder inequality and a special Hamilton-Jacobi equation.
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    Logarithmic Sobolev inequality
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    Prékopa--Leindler inequality
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    Hamilton--Jacobi equations
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    Optimal constants
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