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- W1964130010 abstract "In this paper, we consider the problem of determining the discontinuous conductivity @l in the equation div(@l grad u)=0 in @W when for any Dirchlet data g, we are given the Neumann data h; in other words, results of all possible boundary measurements are known. We derive a uniqueness proof of inclusions of different(analytic) conductivities under the minimal assumptions: (i) the boundaries of inclusions are only Lipschitz, (ii) no topological assumptions. After some modification of Alessandrini's construction [J. Diff. Eq. 84 (1990) 252-272], we gave an existence proof of singular solution for Lipschitz piecewise analytic coefficients and used it for our purpose." @default.
- W1964130010 created "2016-06-24" @default.
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- W1964130010 date "1999-12-01" @default.
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- W1964130010 title "On uniqueness for an inverse boundary value problem in electrical prospection" @default.
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- W1964130010 doi "https://doi.org/10.1016/s0096-3003(98)10077-2" @default.
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