logo_acta

Acta Mathematica Vietnamica

HOPF'S FORMULA FOR LIPSCHITZ SOLUTIONS OF HAMILTON-JACOBI EQUATIONS WITH CONCAVE-CONVEX HAMILTONIAN

icon-email HA TIEN NGOAN

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.