JournalsaihpcVol. 36, No. 7pp. 2065–2082

Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities

  • Giulia Furioli

    DIGIP, University of Bergamo, viale Marconi 5, 24044 Dalmine, Italy

  • Ada Pulvirenti

    Department of Mathematics, University of Pavia, via Ferrata 1, Pavia, 27100 Italy

  • Elide Terraneo

    Department of Mathematics, University of Milan, via Saldini 50, 20133 Milano, Italy

  • Giuseppe Toscani

    Department of Mathematics, University of Pavia, via Ferrata 1, Pavia, 27100 Italy
Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities cover

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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.

Cite this article

Giulia Furioli, Ada Pulvirenti, Elide Terraneo, Giuseppe Toscani, Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 7, pp. 2065–2082

DOI 10.1016/J.ANIHPC.2019.07.005