Gradient Estimates for the Perfect Conductivity Problem
Analysis of PDEs
2007-05-23 v1
Abstract
This paper concerns optimal gradient estimates of solutions for the perfect conductivity problem with closely spaced interfacial boundaries. The problem arises from composite material. Our estimates exhibit different blow up rates of the gradients, as the distance between the inclusions goes to zero, in dimensions n=2, n=3 and n\ge 4, which become higher as dimensions increase.
Cite
@article{arxiv.math/0612520,
title = {Gradient Estimates for the Perfect Conductivity Problem},
author = {Ellen Shiting Bao and YanYan Li and Biao Yin},
journal= {arXiv preprint arXiv:math/0612520},
year = {2007}
}