Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : We systematically study weighted Poincaré type inequalities which are closely connected with Hardy type inequalities and establish the form of the optimal constants in some cases. Such inequalities are then used to relate entropy with entropy production and get intermediate asymptotics results for fast diffusion equations.
 
 
Hardy-Poincaré inequalities and applications to nonlinear diffusions
BLANCHET Adrien, BONFORTE Matteo, DOLBEAULT Jean
GRILLO Gabriele, VAZQUEZ Juan-Luis
2006-45
11-10-2006
 
Université de PARIS - DAUPHINE
Place du Maréchal de Lattre De Tassigny - 75775 PARIS CEDEX 16 - FRANCE
Téléphone : +33 (0)1 44-05-49-23 - fax : +33 (0)1 44-05-45-99