Optimal boundary gradient estimates for Lam\'{e} systems with partially infinite coefficients
Analysis of PDEs
2017-05-17 v1
Abstract
In this paper, we derive the pointwise upper bounds and lower bounds on the gradients of solutions to the Lam\'{e} systems with partially infinite coefficients as the surface of discontinuity of the coefficients of the system is located very close to the boundary. When the distance tends to zero, the optimal blow-up rates of the gradients are established for inclusions with arbitrary shapes and in all dimensions.
Cite
@article{arxiv.1705.05518,
title = {Optimal boundary gradient estimates for Lam\'{e} systems with partially infinite coefficients},
author = {Jiguang Bao and Hongjie Ju and Haigang Li},
journal= {arXiv preprint arXiv:1705.05518},
year = {2017}
}
Comments
to appear in Advances in Math. 38 pages