A convergence result for the ergodic problem for Hamilton–Jacobi equations with Neumann-type boundary conditions

DOI10.1017/S0308210515000517zbMath1350.35063MaRDI QIDQ5741029

No author found.

Publication date: 20 July 2016

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

zbMATH Keywords

asymptotic analysisMather measuresweak Kolmogorov-Arnold-Moser theory

Mathematics Subject Classification ID

Related Items (12)

The vanishing discount problem and viscosity Mather measures. 1: The problem on a torus ⋮ The selection problem for some first-order stationary mean-field games ⋮ Convergence of the solutions of discounted Hamilton-Jacobi systems ⋮ The vanishing discount problem and viscosity Mather measures. II: Boundary value problems ⋮ The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. I: Linear coupling ⋮ Convergence of discrete Aubry–Mather model in the continuous limit ⋮ Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function ⋮ The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. II: Nonlinear coupling ⋮ Vanishing contact structure problem and convergence of the viscosity solutions ⋮ The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space ⋮ The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases ⋮ Selection problems for a discount degenerate viscous Hamilton-Jacobi equation

Cites Work

• Weak KAM aspects of convex Hamilton-Jacobi equations with Neumann type boundary conditions
• Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions
• Action minimizing invariant measures for positive definite Lagrangian systems
• Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation
• Some new PDE methods for weak KAM theory
• Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean \(n\) space
• On oblique derivative problems for fully nonlinear second-order elliptic partial differential equations on nonsmooth domains
• Fully nonlinear Neumann type boundary conditions for first-order Hamilton–Jacobi equations
• User’s guide to viscosity solutions of second order partial differential equations
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• A PDE Approach to Large-Time Asymptotics for Boundary-Value Problems for Nonconvex Hamilton–Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: A convergence result for the ergodic problem for Hamilton–Jacobi equations with Neumann-type boundary conditions