Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians

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Long-time Behavior of Solutions of Hamilton–Jacobi Equations with Convex and Coercive Hamiltonians (2009, methodology): “In Section 3, we formulate and prove representation formulas for solutions u ∈ SH , which are very close those obtained in [19].”
Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints (2007, background): “See, for example, [12] or [17] for these properties.”
Hamilton-Jacobi equations: approximations, numerical analysis and applications (2013, background): “Models of mean field type for the limit of Nash equilibria for stochastic game problems see [3] when the number of players tends to +∞ have recently been studied by J-M.”