Homogenization results for a deterministic multi-domains periodic control problem

DOI10.3233/ASY-151322zbMath1338.49005arXiv1405.0661MaRDI QIDQ5744774

Guy Barles, Emmanuel Chasseigne, Nicoletta Tchou, Ariela Briani

Publication date: 19 February 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0661

zbMATH Keywords

Bellman equationhomogenizationviscosity solutionsdeterministic optimal controldiscontinuous dynamicscell problem

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) 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 (2)

Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface ⋮ Homogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Hamilton-Jacobi equations constrained on networks
• A short proof of the \(C^{0,\alpha }\)-regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications
• Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result
• The `hump' effect in solid propellant combustion
• A Bellman approach for two-domains optimal control problems in ℝ^N
• A Bellman Approach for Regional Optimal Control Problems in $\mathbb{R}^N$
• Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions
• Sur la convergence du semi-groupe de Lax-Oleinik
• Periodic homogenization of Hamilton-Jacobi equations: Additive eigenvalues and variational formula
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• Periodic homogenisation of Hamilton–Jacobi equations: 2. Eikonal equations
• Solutions KAM faibles conjuguées et barrières de Peierls
• Viscosity Solutions Methods for Singular Perturbations in Deterministic and Stochastic Control
• A Hamilton-Jacobi approach to junction problems and application to traffic flows

This page was built for publication: Homogenization results for a deterministic multi-domains periodic control problem