Rate of convergence in periodic homogenization for convex Hamilton–Jacobi equations with multiscales

DOI10.1088/1361-6544/ACF17CzbMath1522.35041arXiv2303.05738MaRDI QIDQ6095426

Yuxi Han, Ji-Woong Jang

Publication date: 8 September 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.05738

zbMATH Keywords

viscosity solutionsperiodic homogenizationoptimal rate of convergencecell problemsfirst-order convex Hamilton-Jacobi equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rate of convergence, degree of approximation (41A25) 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) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (1)

On the rate of convergence in homogenization of time-fractional Hamilton-Jacobi equations

Cites Work

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• Rate of convergence in periodic homogenization of Hamilton-Jacobi equations: the convex setting
• Periodic homogenisation of certain fully nonlinear partial differential equations
• On the rate of convergence in homogenization of Hamilton-Jacobi equations
• The perturbed test function method for viscosity solutions of nonlinear PDE
• Rate of convergence for periodic homogenization of convex Hamilton–Jacobi equations in one dimension
• Hamilton–Jacobi Equations
• On the rate of convergence in homogenization of time-fractional Hamilton-Jacobi equations

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