A Lax-Oleinik representation formula is established for nonautonomous Hamilton-Jacobi equations on general networks, yielding unique solutions via an action functional whose minimizers are Lipschitz continuous without excluding the Zeno phenomenon.
Numerical analysis of time-dependent Hamilton–Jacobi equations on networks
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Lax-Oleinik formula for nonautonomous Hamilton-Jacobi equations on networks
A Lax-Oleinik representation formula is established for nonautonomous Hamilton-Jacobi equations on general networks, yielding unique solutions via an action functional whose minimizers are Lipschitz continuous without excluding the Zeno phenomenon.