Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
Articolo
Data di Pubblicazione:
2019
Citazione:
Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities / G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 36:7(2019 Dec), pp. 2065-2082. [10.1016/j.anihpc.2019.07.005]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Fokker-Planck type equations; Large time behavior; Weighted Logarithmic-Sobolev inequalities;
Elenco autori:
G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani
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