We prove a stability result in the hybrid inverse problem of recovering the electrical conductivity from partial knowledge of one current density field generated inside a body by an imposed boundary voltage. The region where interior data stably reconstructs the conductivity is well defined by a combination of the exact and perturbed data.

中文翻译：

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来自一种内部电流的部分测量的电导率成像的稳定性

我们证明了混合逆问题的稳定性结果，该混合逆问题从通过施加的边界电压在体内产生的一个电流密度场的部分知识恢复电导率。内部数据稳定重建电导率的区域由精确数据和扰动数据的组合很好地定义。