On an inverse problem in electromagnetism with local data: stability and uniqueness

Pedro Caro

doi:10.3934/ipi.2011.5.297

Article Contents

2011, Volume 5, Issue 2: 297-322. Doi: 10.3934/ipi.2011.5.297

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On an inverse problem in electromagnetism with local data: stability and uniqueness

Pedro Caro^1,

1.
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid

Received: April 30, 2010

Revised: February 28, 2011

Published: April 2011

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Abstract

In this paper we prove a stable determination of the coefficients of the time-harmonic Maxwell equations from local boundary data. The argument --due to Isakov-- requires some restrictions on the domain.

Keywords:

Inverse boundary value problem,
electromagnetism.

Mathematics Subject Classification: Primary: 35R30, 35Q61; Secondary: 65N21.

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References

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