Hopf's formula for Lipschitz solutions of Hamilton-Jacobi equations with concave-convex Hamiltonian

Authors: Hà Tiến Ngoạn,

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Publisher, magazine: ,

Publication year: 1998

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Abstract

We extend Hopf’s formula for Lipschitz solutions of HamiltonJacobi equation to the case where the Hamiltonian H(p) = H(p0, p00) is a concave-convex function.

Tags: Lipschitz solution, concave-convex function, Legendre transformation.