论文标题
确定二阶对称张量的逆问题
An Inverse Problem on Determining Second Order Symmetric Tensor for Perturbed Biharmonic Operator
论文作者
论文摘要
本文提供了对Calderón类型的反问题的研究，该问题是确定高阶椭圆操作员的二阶系数。在这里，我们表明，可以通过对称矩阵给出的各向异性二阶扰动，以及矢量场给出的一阶扰动和在有界域内的零级订单潜在函数，通过测量dirichlet dirichlet to dirichlet to dirichlet to thit dimain operain operain operain operain operain operain operain operain的neumann map。
This article offers a study of the Calderón type inverse problem of determining up to second order coefficients of the higher order elliptic operator. Here we show that it is possible to determine an anisotropic second order perturbation given by a symmetric matrix, along with a first order perturbation given by a vector field and a zero-th order potential function inside a bounded domain by measuring the Dirichlet to Neumann map of the perturbed biharmonic operator on the boundary of that domain.
