First-Order PDE

Paulo Brito

Chapter Chapter 13 in Economic Dynamics and Distributions, 2026, pp 385-421 from Springer

Abstract: Abstract Partial differential equations are functional equations containing functions of two independent variables. If one of those variables is time, they are a powerful tool for addressing distributional dynamics. This chapter introduces the classic method of characteristics for solving linear, semi-linear, and quasi-linear one-dimensional equations. It also contains applications to transport, to age-dependent demographics, and to income distribution when there is aggregate social mobility.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-031-94717-9_13

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DOI: 10.1007/978-3-031-94717-9_13

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