Convergence of the solutions of discounted Hamilton-Jacobi systems

DOI10.1515/acv-2018-0037zbMath1464.35029arXiv1702.07530OpenAlexW2963617937WikidataQ128410539 ScholiaQ128410539MaRDI QIDQ831230

Maxime Zavidovique, Andrea Davini

Publication date: 11 May 2021

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07530

zbMATH Keywords

optimal controlviscosity solutionsweak KAM theoryMather measures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs on manifolds (35R01) Systems of nonlinear first-order PDEs (35F50)

Related Items (8)

The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. I: Linear coupling ⋮ Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function ⋮ Remarks on the vanishing discount problem for infinite systems of Hamilton-Jacobi-Bellman equations ⋮ On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case ⋮ Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures ⋮ The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence ⋮ Convergence of solutions for some degenerate discounted Hamilton-Jacobi equations ⋮ A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory

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