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Louis Dupaigne

La meilleure constante dans l'inégalité de Sobolev
Lundi, 11 Janvier, 2021 - 13:30
Résumé : 

(de l'article arXiv) : In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci curvature. This result was initially obtained in 1983 by Ilias. Our goal is to present a very short proof, to give a review of the famous inequality and to explain how our method, relying on a gradient-flow interpretation, is simple and robust. In particular, we elucidate computations used in numerous previous works, starting with Bidaut-V{é}ron and V{é}ron's 1991 classical work.

Institution de l'orateur : 
Lyon 1
Thème de recherche : 
Physique mathématique
Salle : 
1, tour IRMA et zoom
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