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math.AP2026
Path-dependent Hamilton--Jacobi equations: Uniqueness results for viscosity solutions defined via families of compact sets
Mikhail I. Gomoyunov
We consider a path-dependent Hamilton--Jacobi equation with coinvariant derivatives over the space of continuous functions. We prove two uniqueness results for viscosity (generaliz…
math.OC2026
Minimax solutions of path-dependent Hamilton--Jacobi equations under weakened assumptions with application to differential games
Mikhail Gomoyunov
We study minimax (generalized) solutions of a Cauchy problem for a (first-order) path-dependent Hamilton--Jacobi equation with co-invariant derivatives under a right-end boundary c…