论文标题
在二阶椭圆方程中的小小和大小估计的传播,不连续的复杂Lipschitz电导率
Propagation of smallness and size estimate in the second order elliptic equation with discontinuous complex Lipschitz conductivity
论文作者
论文摘要
在本文中,我们希望得出三球的不平等,并为复杂的二阶椭圆形方程带有不连续的Lipschitz系数的小小的传播。作为此类估计值的应用,我们通过一对cauchy数据研究了大小估计问题。在我们最近的论文[FVW]中证明了三球不平等和繁殖的主要成分,是当地的卡尔曼。
In this paper, we would like to derive three-ball inequalities and propagation of smallness for the complex second order elliptic equation with discontinuous Lipschitz coefficients. As an application of such estimates, we study the size estimate problem by one pair of Cauchy data on the boundary. The main ingredient in the derivation of three-ball inequalities and propagation of smallness is a local Carleman proved in our recent paper [FVW].