Andrea Davini

Convergence of the solutions of the discounted Hamilton–Jacobi equation: Convergence of the discounted solutions

We consider a continuous coercive Hamiltonian H on the cotangent bundle of the compact connected manifold M which is convex in the momentum. If

AUBRY SETS FOR WEAKLY COUPLED SYSTEMS OF HAMILTON-JACOBI EQUATIONS ∗

u_\lambda :M\rightarrow \mathbb {R}

Homogenization of viscous and non-viscous HJ equations: a remark and an application

uλ:M→R is the viscosity solution of the discounted equation

Exact and approximate correctors for stochastic Hamiltonians: the 1-dimensional case

\begin{aligned} \lambda u_\lambda (x)+H(x,\mathrm{d}_x u_\lambda )=c(H), \end{aligned}

Metric techniques for convex stationary ergodic Hamiltonians

λuλ(x)+H(x,dxuλ)=c(H),where c(H) is the critical value, we prove that