Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : This paper is devoted to refinements of convex Sobolev inequalities in the case of power law relative entropies: a nonlinear entropy - entropy production relation improves the known inequalities of this type. The corresponding generalized Poincaré type inequalities with weights are derived. Best constants are compared to the usual Poincaré constant.
 
 
REFINED CONVEX SOBOLEV INEQUALITIES
ARNOLD Anton, DOLBEAULT Jean
2004-31
13-05-2004
 
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