Homogenization of oblique boundary value problems
Analysis of PDEs
2019-11-19 v1
Abstract
We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems posed in half-spaces, but with general normal directions that may not be parallel to the directions of periodicity. As the frequency of the oscillation grows, quantitative homogenization results are derived. When the homogenized operator is rotation-invariant, we prove the H\"{o}lder continuity of the homogenized boundary data.
Cite
@article{arxiv.1911.06909,
title = {Homogenization of oblique boundary value problems},
author = {Sunhi Choi and Inwon Kim},
journal= {arXiv preprint arXiv:1911.06909},
year = {2019}
}