Uniqueness holds for continuous viscosity solutions of path-dependent HJ equations when the Hamiltonian is continuous and locally Lipschitz in the functional variable, either with sublinear growth in the gradient or with an added local Lipschitz condition on the solution itself.
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Path-dependent Hamilton--Jacobi equations: Uniqueness results for viscosity solutions defined via families of compact sets
Uniqueness holds for continuous viscosity solutions of path-dependent HJ equations when the Hamiltonian is continuous and locally Lipschitz in the functional variable, either with sublinear growth in the gradient or with an added local Lipschitz condition on the solution itself.