Acta Mathematica Vietnamica
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HOPF'S FORMULA FOR LIPSCHITZ SOLUTIONS OF HAMILTON-JACOBI EQUATIONS WITH CONCAVE-CONVEX HAMILTONIAN
HA TIEN NGOANpp. 269-293
Abstract
We extend Hopf's formula for Lipschitz solutions of Hamilton-Jacobi equation to the case where the Hamiltonian $H(p) = H^\prime(p^\prime, p^{\prime\prime})$ is a concave-convex function.