Global generalized characteristics for the Dirichlet problem for Hamilton-Jacobi equations at a supercritical energy level

Piermarco Cannarsa, Wei Cheng, Marco Mazzola +1

We study the nonhomogeneous Dirichlet problem for first order Hamilton-Jacobi equations associated with Tonelli Hamiltonians on a bounded domain $\Omega$ of ${\mathbb{R}}^n$ assuming the energy l…