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On the inverse conductivity problem
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DOI：10.1016/S0096-3003(97)10033-9.png)
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摘要
En 中文
It is shown here that for the boundary value problem div(a del u) = delta(x*) in [R-n, u(x) --> 0 as \x\ --> infinity in order to identify the coefficient a, one needs the additional data u(x,x*) = g(x,x*), where x is an element of Gamma(1), x* is an element of Gamma(2), Gamma(1), Gamma(2) are two open nonempty subsurfaces of partial derivative Omega (Omega is a domain with analytic boundary which contains a bounded set V) and a is an element of H(2p)p greater than or equal to n/2, and a satisfies conditions of Lemma 2. Here we also prove the uniqueness of a entering to the problem the additional data. (C) 1998 Elsevier Science Inc. All rights reserved.
Keyword:
inverse problem
potential theory
conductivity equation
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