# American Institute of Mathematical Sciences

April  2018, 11(2): 337-355. doi: 10.3934/krm.2018016

## On a Fokker-Planck equation for wealth distribution

 1 Department of Mathematics, University of Pavia, Pavia, Italy 2 Department of Mathematics, University of Pavia, and IMATI-CNR, Pavia, Italy

* Corresponding authorr: Marco Torregrossa

Received  January 2017 Revised  May 2017 Published  January 2018

Fund Project: This work has been written within the activities of the National Group of Mathematical Physics (GNFM) of INdAM (National Institute of High Mathematics), and partially supported by the MIUR-PRIN Grant 2015PA5MP7 "Calculus of Variations".

We study here a Fokker-Planck equation with variable coefficient of diffusion and boundary conditions which appears in the study of the wealth distribution in a multi-agent society [2, 10, 22]. In particular, we analyze the large-time behavior of the solution, by showing that convergence to the steady state can be obtained in various norms at different rates.

Citation: Marco Torregrossa, Giuseppe Toscani. On a Fokker-Planck equation for wealth distribution. Kinetic & Related Models, 2018, 11 (2) : 337-355. doi: 10.3934/krm.2018016
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