The authors prove well-posedness for stationary nonlocal Hamilton-Jacobi equations with Kirchhoff junction conditions, for integro-differential order below 1, including a flux-limited equivalence.
Hamilton-Jacobi equations constrained on networks
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Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions
The authors prove well-posedness for stationary nonlocal Hamilton-Jacobi equations with Kirchhoff junction conditions, for integro-differential order below 1, including a flux-limited equivalence.