Lq-functional inequalities and weighted porous media equations
Résumé
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.
| Origine | Fichiers produits par l'(les) auteur(s) |
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