%0 Journal Article %T A drift approximation for parabolic PDEs with oblique boundary data %A Damon Alexander %A Inwon Kim %J Mathematics %D 2014 %I arXiv %X We consider solutions of a quasi-linear parabolic PDE with zero oblique boundary data in a bounded domain. Our main result states that the solutions can be approximated by solutions of a PDE in the whole space with a penalizing drift term. The convergence is locally uniform and optimal error estimates are obtained. %U http://arxiv.org/abs/1403.2778v1