Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two
Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two
复制标题
维度大于 2 的绝缘电导率问题解的梯度估计
DOI：
10.1007/s00208-022-02368-x
复制
发表时间：
2023
影响因子：
1.4
通讯作者：
Yang, Zhuolun
中科院分区：
文献类型：
--
作者：
Li, YanYan;Yang, Zhuolun
本文研究了一类有界区域中含夹杂的绝缘导电问题。当夹杂物之间的距离接近0时，溶液的梯度会增大。证明了爆破速率的一个上界是有序的。已知上限在维数上是尖锐的。然而，这个上限是否在维度上是尖锐的仍然是开放的。在本文中，我们改进了维数上界，使其为阶的。
We study the insulated conductivity problem with inclusions embedded in a bounded domain in. The gradient of solutions may blow up as, the distance between inclusions, approaches to 0. An upper bound for the blow up rate was proved to be of order. The upper bound was known to be sharp in dimension. However, whether this upper bound is sharp in dimensionhas remained open. In this paper, we improve the upper bound in dimensionto be of order, for some.