Harmonic Functions and Inverse Conductivity Problems on Networks
| dc.contributor.author | Berenstein, Carlos A. | en_US |
| dc.contributor.author | Chung, Soon-Yeong | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T10:13:40Z | |
| dc.date.available | 2007-05-23T10:13:40Z | |
| dc.date.issued | 2003 | en_US |
| dc.description.abstract | In 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.extent | 639979 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/6353 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 2003-16 | en_US |
| dc.subject | Global Communication Systems | en_US |
| dc.title | Harmonic Functions and Inverse Conductivity Problems on Networks | en_US |
| dc.type | Technical Report | en_US |
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