Comptes Rendus
no. 4
Partial differential equations/Functional analysis
Logarithmic Sobolev inequality revisited
[L'inégalité de Sobolev logarithmique revisitée]

Présenté par : Haïm Brézis

Hoai-Minh Nguyen1 ; Marco Squassina2
1 Department of Mathematics, EPFL SBCAMA, Station 8, CH-1015 Lausanne, Switzerland
2 Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41, 25121 Brescia, Italy
Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 447-451.

Nous donnons une nouvelle caractérisation de l'inégalité de Sobolev logarithmique.

We provide a new characterization of the logarithmic Sobolev inequality.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.02.009
Hoai-Minh Nguyen 1 ; Marco Squassina 2

1 Department of Mathematics, EPFL SBCAMA, Station 8, CH-1015 Lausanne, Switzerland
2 Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41, 25121 Brescia, Italy 
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Hoai-Minh Nguyen; Marco Squassina. Logarithmic Sobolev inequality revisited. Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 447-451. doi : 10.1016/j.crma.2017.02.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.02.009/

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