206 citations · 1.1k across the 65 of their papers we have counts for
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math.AP2011★ 2 cited
Improved interpolation inequalities, relative entropy and fast diffusion equations
Jean Dolbeault, Giuseppe Toscani
We consider a family of Gagliardo-Nirenberg-Sobolev interpolation inequalities which interpolate between Sobolev's inequality and the logarithmic Sobolev inequality, with optimal c…
math.AP2011
The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium
G. Furioli, A. Pulvirenti, E. Terraneo +1
This paper is devoted to the grazing collision limit of the inelastic Kac model introduced in [A. Pulvirenti and G. Toscani. J. Statist. Phys., 114(5-6):1453--1480, 2004], when the…