On Calderón’s Problem for a System of Elliptic Equations
Oleg Yu. Imanuvilov
Colorado State University, Fort Collins, USAMasahiro Yamamoto
University of Tokyo, Japan
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Abstract
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.
Cite this article
Oleg Yu. Imanuvilov, Masahiro Yamamoto, On Calderón’s Problem for a System of Elliptic Equations. Publ. Res. Inst. Math. Sci. 53 (2017), no. 1, pp. 141–186
DOI 10.4171/PRIMS/53-1-5