Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
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DOI：
10.1137/s0036141094271132
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发表时间：
1996-07
影响因子：
2
通讯作者：
Russell M. Brown
中科院分区：
文献类型：
--
作者：
Russell M. Brown
如果$L_\gamma = {\operatorname{div}}\gamma \nabla $是标量系数$\gamma $的椭圆算子，我们证明了在假设$\gamma $只有${3 / 2} + \epsilon $导数的情况下，我们可以从dirichlet -到neumann映射中恢复系数$\gamma $。以前，最好的结果需要$\gamma $有两个导数。
If $L_\gamma = {\operatorname{div}}\gamma \nabla $ is an elliptic operator with scalar coefficient $\gamma $, we show that we can recover the coefficient $\gamma $ from the Dirichlet-to-Neumann map under the assumption that $\gamma $ has only ${3 / 2} + \epsilon $ derivatives. Previously, the best result required $\gamma $ to have two derivatives.