论文标题
通过边界测量值稳定确定多谐操作员的二阶扰动
Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements
论文作者
论文摘要
在本文中，我们考虑了多谐操作员的逆边界值问题。我们证明，二阶扰动是由对相应的Dirichlet与Neumann Map唯一确定的。更确切地说，我们在尺寸$ n \ geq 3 $中显示，这是一个对数类型的稳定性估计，用于考虑的逆问题。
In this paper, we consider the inverse boundary value problem for the polyharmonic operator. We prove that the second order perturbations are uniquely determined by the corresponding Dirichlet to Neumann map. More precisely, we show in dimension $n \geq 3$, a logarithmic type stability estimate for the inverse problem under consideration.
