Geodesic
Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
Furioli, Giulia1 ; Pulvirenti, Ada2 ; Terraneo, Elide3 ; Toscani, Giuseppe2
1DIGIP, University of Bergamo, viale Marconi 5, 24044 Dalmine, Italy
2Department of Mathematics, University of Pavia, via Ferrata 1, Pavia, 27100 Italy
3Department of Mathematics, University of Milan, via Saldini 50, 20133 Milano, Italy
Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 7, pp. 2065-2082
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We study the rate of convergence to equilibrium of the solution of a Fokker–Planck type equation introduced in [19] to describe opinion formation in a multi-agent system. The main feature of this Fokker–Planck equation is the presence of a variable diffusion coefficient and boundaries, which introduce new challenging mathematical problems in the study of its long-time behavior.

DOI : 10.1016/j.anihpc.2019.07.005
Keywords: Fokker-Planck type equations, Large time behavior, Weighted Logarithmic-Sobolev inequalities

Furioli, Giulia  1   ; Pulvirenti, Ada  2   ; Terraneo, Elide  3   ; Toscani, Giuseppe  2

1 DIGIP, University of Bergamo, viale Marconi 5, 24044 Dalmine, Italy
2 Department of Mathematics, University of Pavia, via Ferrata 1, Pavia, 27100 Italy
3 Department of Mathematics, University of Milan, via Saldini 50, 20133 Milano, Italy 
@article{AIHPC_2019__36_7_2065_0,
     author = {Furioli, Giulia and Pulvirenti, Ada and Terraneo, Elide and Toscani, Giuseppe},
     title = {Wright{\textendash}Fisher{\textendash}type equations for opinion formation, large time behavior and weighted {logarithmic-Sobolev} inequalities},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {2065--2082},
     year = {2019},
     publisher = {Elsevier},
     volume = {36},
     number = {7},
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Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe. Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities. Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 7, pp. 2065-2082. doi: 10.1016/j.anihpc.2019.07.005

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