A mathematical modeling approach to the formation of urban and rural areas: convergence of global solutions of the mixed problem for the master equation in sociodynamics

DOI10.1016/j.nonrwa.2011.05.025zbMath1231.35267OpenAlexW2042785700MaRDI QIDQ660735

Nobuoki Eshima, Minoru Tabata, Ichiro Takagi

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.025

zbMATH Keywords

convergenceglobal solutionsmaster equationurbanizationnonlinear integro-partial differential equationhuman migration

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Models of societies, social and urban evolution (91D10) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Existence, uniqueness, and computation of short-run and long-run equilibria of the Dixit-Stiglitz-Krugman model in an urban setting ⋮ An extension of Krugman's core-periphery model to the case of a continuous domain: existence and uniqueness of solutions of a system of nonlinear integral equations in spatial economics ⋮ A population explosion in an evolutionary game in spatial economics: blow up radial solutions to the initial value problem for the replicator equation whose growth rate is determined by the continuous Dixit-Stiglitz-Krugman model in an urban setting

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