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.
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 Nov), pp. 2065-2082.
Titolo: | Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities |
Autori: | |
Parole Chiave: | Fokker-Planck type equations; Large time behavior; Weighted Logarithmic-Sobolev inequalities |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Data di pubblicazione: | nov-2019 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.anihpc.2019.07.005 |
Appare nelle tipologie: | 01 - Articolo su periodico |