  Using one loop functional RG we study two problems of pinned elastic systems
away from their equilibrium or steady states. The critical regime of the
depinning transition is investigated starting from a flat initial condition. It
exhibits non trivial two-time dynamical regimes with exponents and scaling
functions obtained in a dimensional expansion. The aging and equilibrium
dynamics of the super-rough glass phase of the random Sine-Gordon model at low
temperature is found to be characterized by a single dynamical exponent $z
\approx c/T$, where $c$ compares well with recent numerical work. This agrees
with the thermal boundary layer picture of pinned systems.
