A drift approximation for parabolic PDEs with oblique boundary data
Analysis of PDEs
2014-03-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1403.2778,
title = {A drift approximation for parabolic PDEs with oblique boundary data},
author = {Damon Alexander and Inwon Kim},
journal= {arXiv preprint arXiv:1403.2778},
year = {2014}
}