On the negative limit of viscosity solutions for discounted Hamilton-Jacobi equations

Ya-Nan Wang, Jun Yan, Jianlu Zhang

Suppose $M$ is a closed Riemannian manifold. For a $C^2$ generic (in the sense of Mañé) Tonelli Hamiltonian $H:T^{\ast }M\to \mathbb{R}$, the minimal viscosity solution $u_λ^-:M\…