  We consider a planar viscous shock of moderate strength for a scalar viscous
conservation law in multi-D. We consider a strictly convex flux, as a small
perturbation of the Burgers flux, along the normal direction to the shock
front. However, for the transversal directions, we do not have any restrictions
on flux function. We first show the contraction property for any large
perturbations in $L^2$ of the planar viscous shock. If the initial
$L^2$-perturbation is also in $L^1$, the large perturbation converges to zero
in $L^2$ as time goes to infinity with $t^{-1/4}$ decay rate. The contraction
and decay estimates hold up to dynamical shift. For the results, we do not
impose any smallness conditions on the initial value. This result extends the
1D case \cite{Kang-V-1} by the first author and Vasseur to the
multi-dimensional case.
