Oscillatory integrals and periodic homogenization of Robin boundary value problems
Analysis of PDEs
2019-02-28 v1 Classical Analysis and ODEs
Abstract
In this paper, we consider a family of second-order elliptic systems subject to a periodically oscillating Robin boundary condition. We establish the qualitative homogenization theorem on any Lipschitz domains satisfying a non-resonance condition. We also use the quantitative estimates of oscillatory integrals to obtain the dimension-dependent convergence rates in , assuming that the domain is smooth and strictly convex.
Cite
@article{arxiv.1902.10332,
title = {Oscillatory integrals and periodic homogenization of Robin boundary value problems},
author = {Jun Geng and Jinping Zhuge},
journal= {arXiv preprint arXiv:1902.10332},
year = {2019}
}
Comments
33 pages. Comments are welcome