Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : Using measure-capacity inequalities we study new functional inequalities, namely L^q-Poincaré inequalities and L^q--logarithmic Sobolev inequalities. As a consequence, we establish the asymptotic behavior of the solutions to the so-called weighted porous media equation for m?1, in terms of L^2-norms and entropies.
 
 
Lq-functional inequalities and weighted porous media equations
DOLBEAULT Jean, GENTIL Ivan, GUILLIN Arnaud
WANG Feng-Yu
2006-61
30-12-2006
 
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