Asymptotic analysis for elliptic systems in a narrow region
Analysis of PDEs
2022-04-15 v1
Abstract
This paper is concerned with investigating the asymptotic behavior of the gradients of solutions to a class of elliptic systems with general boundary data, especially covering the Lam\'{e} systems, in a narrow region. The novelty of this paper lies in finding the correction term to improve the previous gradient estimates to be a precise asymptotic formula. Through this justification, we capture all singular terms and thus give a fairly sharp characterization in terms of the singularities of the gradients.
Keywords
Cite
@article{arxiv.2204.06711,
title = {Asymptotic analysis for elliptic systems in a narrow region},
author = {Zhiwen Zhao},
journal= {arXiv preprint arXiv:2204.06711},
year = {2022}
}