Continuity Properties for Divergence Form Boundary Data Homogenization Problems
Analysis of PDEs
2019-10-30 v1
Abstract
We study the continuity/discontinuity of the effective boundary condition for periodic homogenization of oscillating Dirichlet data for nonlinear divergence form equations and linear systems. For linear systems we show continuity, for nonlinear equations we give an example of discontinuity.
Cite
@article{arxiv.1801.10604,
title = {Continuity Properties for Divergence Form Boundary Data Homogenization Problems},
author = {William M. Feldman and Yuming Paul Zhang},
journal= {arXiv preprint arXiv:1801.10604},
year = {2019}
}
Comments
32 pages