Remark on Calderón's problem for the system of elliptic equations

preprint2015arXivOpen access

Abstract

We consider the Calderón problem in the case of partial Dirichlet-to-Neumann map for the system of elliptic equations in a bounded two dimensional domain. The main result of the manuscript is as follows: If two systems of elliptic operators generate the same partial Dirichlet-to-Neumann map the coefficients can be uniquely determined up to the gauge equivalence.

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