A drift approximation for parabolic PDEs with oblique boundary data
Damon Alexander, Inwon C. Kim · arXiv (Cornell University) · 2014
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.