The unique determination of a measurable conductivity from the Dirichlet-to-Neumann map of the equation div(sigma del u) = 0 is the subject of this note. A new strategy, based on Clifford algebras and a higher dimensional analogue of the Beltrami equation, is here proposed. This represents a possible first step for a proof of uniqueness for the Calderon problem in three and higher dimensions in the L-infinity case.
Note on Calderón's inverse problem for measurable conductivities
SANTACESARIA, MATTEO
2019-01-01
Abstract
The unique determination of a measurable conductivity from the Dirichlet-to-Neumann map of the equation div(sigma del u) = 0 is the subject of this note. A new strategy, based on Clifford algebras and a higher dimensional analogue of the Beltrami equation, is here proposed. This represents a possible first step for a proof of uniqueness for the Calderon problem in three and higher dimensions in the L-infinity case.File in questo prodotto:
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