In this article, we study an inverse problem with local data for a linear polyharmonic operator with several lower order tensorial perturbations. We consider our domain to have an inaccessible portion of the boundary where neither the input can be prescribed nor the output can be measured. We prove the unique determination of all the tensorial coefficients of the operator from the knowledge of the Dirichlet and Neumann map on the accessible part of the boundary, under suitable geometric assumptions on the domain.

中文翻译：

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具有各向异性扰动的多调和算子的局部数据反问题

在本文中，我们研究了具有几个低阶张量扰动的线性多调和算子的局部数据反演问题。我们认为我们的域有一个无法访问的边界部分，其中既不能规定输入​​，也不能测量输出。我们证明了在域上适当的几何假设下，根据边界可访问部分的狄利克雷和诺伊曼图的知识，算子的所有张量系数的唯一确定。