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Harmonic Functions and Inverse Conductivity Problems on Networks

dc.contributor.authorBerenstein, Carlos A.en_US
dc.contributor.authorChung, Soon-Yeongen_US
dc.description.abstractIn this paper, we discuss the inverse problem of identifying the connectivity and the conductivity of the links between adjacent pair of nodes in a network, in terms of an input-output map. To do this we introduce an elliptic operator Dw and an w-harmonic function on thegraph, with its physical interpretation been the diffusion equation on the graph, which models an electric network. After deriving the basic properties of w-harmonic functions, we prove the solvability of (direct) problems such as the Dirichlet and Neumann boundary value problems.Our main result is the global uniqueness of the inverse conductivity problem for a network under a suitable monotonicity condition.en_US
dc.format.extent639979 bytes
dc.relation.ispartofseriesISR; TR 2003-16en_US
dc.subjectGlobal Communication Systemsen_US
dc.titleHarmonic Functions and Inverse Conductivity Problems on Networksen_US
dc.typeTechnical Reporten_US

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