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Licensed Unlicensed Requires Authentication Published by De Gruyter July 31, 2015

Calderón problem for Maxwell's equations in two dimensions

  • Oleg Y. Imanuvilov and Masahiro Yamamoto EMAIL logo

Abstract

We prove the global uniqueness in determination of the conductivity, the permeability and the permittivity of the two-dimensional Maxwell equations by the partial Dirichlet-to-Neumann map limited to an arbitrary subboundary.

MSC: 35R30; 35Q61

Funding source: NSF

Award Identifier / Grant number: DMS 1312900

Award Identifier / Grant number: Grant-in-Aid for Scientific Research (S) 15H05740

Funding statement: First author partially supported by NSF grant DMS 1312900, second author partially supported by Grant-in-Aid for Scientific Research (S) 15H05740 of Japan Society for the Promotion of Science.

The authors thank the anonymous referees for valuable comments.

Received: 2015-4-10
Revised: 2015-6-17
Accepted: 2015-6-18
Published Online: 2015-7-31
Published in Print: 2016-6-1

© 2016 by De Gruyter

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