Hamilton-Jacobi Equations on Networks as Limits of Singularly Perturbed Problems in Optimal Control: Dimension Reduction

DOI10.1080/03605302.2014.974764zbMath1320.35023OpenAlexW2070557663MaRDI QIDQ5256304

Yves Achdou, Nicoletta Tchou

Publication date: 22 June 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2014.974764

zbMATH Keywords

dimension reductioneffective transmission conditionsstar-shaped planar domains

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21) PDEs in connection with control and optimization (35Q93) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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