An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator
An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator
复制标题
扰动双调和算子确定二阶对称张量的反问题
作者：
Sombuddha Bhattacharyya;T. Ghosh
本文研究了确定高阶椭圆算子二阶系数的Calderón型反问题。这里，我们证明了通过测量受扰双调和算子在有界域边界上的Dirichlet到Neumann映射，可以确定对称矩阵所给出的各向异性二阶扰动，以及有界域内矢量场和零阶势函数所给出的一阶扰动。
This article offers a study of the Calderón type inverse problem of determining up to second order coefficients of higher order elliptic operators. 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.