title: Partial differential equation models in macroeconomics.
abstract: The purpose of this article is to get mathematicians interested in studying a number of partial differential equations (PDEs) that naturally arise in macroeconomics. These PDEs come from models designed to study some of the most important questions in economics. At the same time, they are highly interesting for mathematicians because their structure is often quite difficult. We present a number of examples of such PDEs, discuss what is known about their properties, and list some open questions for future research.
authors.affiliation: Université Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, Paris, France.
authors.forename: Yves
authors.initials: Y
authors.lastname: Achdou
authors.affiliation: Federal Reserve Bank of Chicago, Chicago, IL 60604, USA.
authors.forename: Francisco J
authors.initials: FJ
authors.lastname: Buera
authors.affiliation: Department of Mathematics, University Dauphine, 75017 Paris, France.
authors.forename: Jean-Michel
authors.initials: JM
authors.lastname: Lasry
authors.affiliation: Collège de France, 75005 Paris France.
authors.forename: Pierre-Louis
authors.initials: PL
authors.lastname: Lions
authors.affiliation: Department of Economics, Princeton University, Princeton, NJ 08544, USA moll@princeton.edu.
authors.forename: Benjamin
authors.initials: B
authors.lastname: Moll
keywords: firm size distribution; heterogeneous agents; income and wealth distribution; mean field games