Gradient estimates for solutions of the Lam\'{e} system with partially infinite coefficients
Analysis of PDEs
2015-06-17 v2
Abstract
We establish upper bounds on the blow up rate of the gradients of solutions of the Lam\'e system with partially infinite coefficients in dimension two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.
Cite
@article{arxiv.1311.1278,
title = {Gradient estimates for solutions of the Lam\'{e} system with partially infinite coefficients},
author = {Jiguang Bao and Haigang Li and Yanyan Li},
journal= {arXiv preprint arXiv:1311.1278},
year = {2015}
}
Comments
42 pages. The title is changed slightly, and some Korn inequalities are recalled for readers' convenience. to appear in Arch. Ration. Mech. Anal