41 citations · 53 across the 11 of their papers we have counts for
11 papers
Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities
G. Furioli, A. Pulvirenti, E. Terraneo +1
We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincaré inequality. To t…
Fokker-Planck equations and one-dimensional functional inequalities for heavy tailed densities
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We study one-dimensional functional inequalities of the type of Poincaré, logarithmic Sobolev and Wirtinger, with weight, for probability densities with polynomial tails. As main e…
Non-Maxwellian kinetic equations modeling the evolution of wealth distribution
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We introduce a class of new one-dimensional linear Fokker--Planck type equations describing the evolution in time of the wealth in a multi-agent society. The equations are obtained…
Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We study the rate of convergence to equilibrium of the solution of a Fokker--Planck type equation introduced by one of the authors in 2006 to describe opinion formation in a multi-…
Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity
Giulia Furioli, Tatsuki Kawakami, Bernhard Ruf +1
We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data.…
On Rosenau-Type Approximations to Fractional Diffusion Equations
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
Owing to the Rosenau argument in Physical Review A, 46 (1992), pag. 12-15, originally proposed to obtain a regularized version of the Chapman-Enskog expansion of hydrodynamics, we…