Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures

Qinbo Chen, Albert Fathi, Maxime Zavidovique +1

Given a continuous Hamiltonian $H:(x,p,u)\mapsto H(x,p,u)$ defined on $T^{\ast }M\times \mathbb{R}$, where $M$ is a closed connected manifold, we study viscosity solutions, $u_λ: M\…