Entropy methods for degenerate diffusions and weighted functional inequalities

17 Jun 2016, 15:25
Salle de Réunion - Bâtiment M2 ()

Salle de Réunion - Bâtiment M2


Bruno Nazaret (SAMM - Statistique, Analyse, Modélisation multidisciplinaire)


We will present results on large time asymptotics for some fast diffusion equations with power law weights. We will show that, for such diffusions, new phenomena appear : the asymptotic rates of convergence, obtained by linearization, are not global, the underlying functional inequalities may experience symmetry breaking and the Barenblatt self-similar profiles is not optimal.

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