Rate of convergence for multiscale homogenization of Hamilton—Jacobi equations

DOI10.1017/S0308210507000704zbMath1178.35049OpenAlexW2136658692MaRDI QIDQ5323774

Claudio Marchi

Publication date: 30 July 2009

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210507000704

zbMATH Keywords

optimal controlfirst-order Hamilton-Jacobi equationsmultiscale homogenizationdeterministic differential gamesfirst-order nonlinear equationsfinite number of scales

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Higher order convergence rates in theory of homogenization. III: Viscous Hamilton-Jacobi equations ⋮ Homogenization and Vanishing Viscosity in Fully Nonlinear Elliptic Equations: Rate of Convergence Estimates ⋮ Rate of convergence for periodic homogenization of convex Hamilton–Jacobi equations in one dimension

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