Inverse boundary value problems at the boundary—continuous dependence
Inverse boundary value problems at the boundary—continuous dependence
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DOI：
10.1002/cpa.3160410205
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发表时间：
1988-03
影响因子：
3
通讯作者：
J. Sylvester;G. Uhlmann
中科院分区：
文献类型：
--
作者：
J. Sylvester;G. Uhlmann
我们使用微局域分析方法对 Kohn 和 Vogelius 定理给出了新的证明，表明连续各向同性电导率的边界值可以从边界处的电压和电流测量中恢复。此外，我们证明了精确的估计，以确定电导率边界值对电压电流图的连续依赖性。
We use the methods of microlocal analysis to give a new proof of a theorem of Kohn and Vogelius, showing that the boundary values of a continuous isotropic conductivity can be recovered from voltage and current measurements at the boundary. Moreover, we prove sharp estimates to establish the continuous dependence of the boundary values of the conductivity on the voltage to current maps.