Uniqueness for an inverse problem in electromagnetism with partial data

Brown, B. M. ORCID: https://orcid.org/0000-0002-2871-6591, Marletta, M. ORCID: https://orcid.org/0000-0003-1546-4046 and Reyes Gonzales, J. M. 2016. Uniqueness for an inverse problem in electromagnetism with partial data. Journal of Differential Equations 260 (8) , pp. 6525-6547. 10.1016/j.jde.2016.01.002

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Abstract

A uniqueness result for the recovery of the electric and magnetic coefficients in the time-harmonic Maxwell equations from local boundary measurements is proven. No special geometrical condition is imposed on the inaccessible part of the boundary of the domain, apart from imposing that the boundary of the domain is C 1,1. The coefficients are assumed to coincide on a neighbourhood of the boundary, a natural property in applications

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics Computer Science & Informatics
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	inverse problem, inverse boundary value problem, electromagnetism, Maxwell equations, partial data, Cauchy data set, Schrodinger equation, Dirac operator.
Additional Information:	This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Publisher:	Elsevier
ISSN:	0022-0396
Funders:	Engineering and Physical Sciences Research Council
Date of First Compliant Deposit:	30 March 2016
Date of Acceptance:	8 January 2016
Last Modified:	21 Aug 2023 18:43
URI:	https://orca.cardiff.ac.uk/id/eprint/84625

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