Generalized Hopf formulas are provided for minimax (viscosity) solutions of Hamilton-Jacobi equations of the formVt+H(t, DxV)=0 andVt+H(t, V, DxV)=0 with the boundary conditionV (T, x)=ϕ(x), where ϕ is a convex function. The bounds within which these formulas apply are elucidated.
Mathematical Modeling Computational Mathematic Industrial Mathematic Convex Function Hopf Formula
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