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On Calderón's problem for a system of elliptic equations - MaRDI portal

On Calderón's problem for a system of elliptic equations (Q520746)

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On Calderón's problem for a system of elliptic equations
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    On Calderón's problem for a system of elliptic equations (English)
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    5 April 2017
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    Summary: We consider Calderón's problem in the case of a partial Dirichlet-to-Neumann map for systems of elliptic equations in a bounded two-dimensional domain. The main result of the paper is as follows: If two systems of elliptic equations generate the same partial Dirichlet-to-Neumann map on some subboundary, then the coefficients can be uniquely determined up to gauge equivalence.
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    Dirichlet-to-Neumann map
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    uniqueness
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    gauge equivalence
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    system of elliptic equations
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    two dimensions
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