Global results for eikonal Hamilton-Jacobi equations on networks

DOI10.2140/apde.2018.11.171zbMath1377.35250arXiv1612.01152OpenAlexW2560739259MaRDI QIDQ2409091

Alfonso Sorrentino, Antonio Siconolfi

Publication date: 10 October 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01152

zbMATH Keywords

Hamilton-Jacobi equationcomparison principlegraphsviscosity solutionsHopf-Lax formulaviscosity subsolutionsembedded 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) Hamilton-Jacobi equations (35F21) Comparison principles in context of PDEs (35B51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (4)

Time-dependent Hamilton-Jacobi equations on networks ⋮ Aubry–Mather theory on graphs ⋮ Lax–Oleinik Formula on Networks ⋮ Discounted Hamilton-Jacobi equations on networks and asymptotic analysis

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