Discounted Hamilton-Jacobi equations on networks and asymptotic analysis

DOI10.1512/iumj.2021.70.8435zbMath1481.35125arXiv1809.03872OpenAlexW3176200631MaRDI QIDQ5153377

Marco Pozza, Antonio Siconolfi

Publication date: 29 September 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03872

zbMATH Keywords

Hamilton-Jacobi equationgraphsviscosity solutionsHopf-Lax formulaembedded networksdiscrete weak KAM theorydiscrete functional equation on graphs

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Hamilton-Jacobi equations (35F21) Comparison principles in context of PDEs (35B51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Time-dependent Hamilton-Jacobi equations on networks ⋮ Aubry–Mather theory on graphs ⋮ Convergence of solutions for some degenerate discounted Hamilton-Jacobi equations

Cites Work

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• Viscosity solutions for junctions: well posedness and stability
• Convergence of the solutions of the discounted equation: the discrete case
• Eikonal equations on ramified spaces
• Viscosity solutions of Hamilton-Jacobi equations
• PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
• Aubry-Mather theory for conformally symplectic systems
• Global results for eikonal Hamilton-Jacobi equations on networks
• Topological Crystallography
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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