  We establish a framework that allows to prove Gamma-converge of functionals
of Lagrangian form on spaces of trajectories based on convergence of viscosity
solutions of associated Hamilton-Jacobi equations.
  Gamma convergence follows from a: equi-coercivity, b: Gamma convergence of
the projected functional at time 0, c: convergence of the Hamiltonians that
appear as Legendre transform of the Lagrangian in the path-space functional.
