On uniqueness in the inverse conductivity problem
On uniqueness in the inverse conductivity problem
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论电导率反问题的唯一性
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
Ali Sever
中科院分区：
文献类型：
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作者：
Ali Sever
在极小的假设下，得到了方程div{a格拉德u} = 0在Ω中具有不同解析电导率的包含体的唯一性证明：（i）包含体的边界是Lipschitz的，（ii）没有拓扑假设.对于任何狄利克雷数据g，我们给出诺依曼数据h;换句话说，所有可能的边界测量的结果都是已知的。为此目的，我们利用并修正了Alessandrini [1]关于椭圆型方程奇异解的构造。
We derive a uniqueness proof of inclusions of different {analytic} conductivities in the equation div{a grad u} = 0 in Ω under the minimal assumptions: (i) the boundaries of inclusions are only Lipschitz and (ii) we have no topological assumptions. For any Dirichlet data g, we are given the Neumann data h; in other words, results of all possible boundary measurements are known. For this purpose, we use and modify the construction of singular solution of elliptic equations due to Alessandrini [1].