JournalsprimsVol. 53, No. 1pp. 141–186

On Calderón’s Problem for a System of Elliptic Equations

  • Oleg Yu. Imanuvilov

    Colorado State University, Fort Collins, USA

  • Masahiro Yamamoto

    University of Tokyo, Japan
On Calderón’s Problem for a System of Elliptic Equations cover
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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