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Entropy flows and functional inequalities in convex sets

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Simon Zugmeyer
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Abstract

We revisit entropy methods to prove new sharp trace logarithmic Sobolev and sharp Gagliardo-Nirenberg-Sobolev inequalities on the half space, with a focus on the entropy inequality itself and not the actual flow, allowing for somewhat robust and self-contained proofs.
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Dates and versions

hal-02407995 , version 1 (12-12-2019)
hal-02407995 , version 2 (06-01-2020)
hal-02407995 , version 3 (23-12-2021)

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  • HAL Id : hal-02407995 , version 1

Cite

Simon Zugmeyer. Entropy flows and functional inequalities in convex sets. 2019. ⟨hal-02407995v1⟩
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