On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data
type: Item
instance of: scholarly article
title: On the uniqueness of the recovery of parameters of the Maxwell system from dynamical boundary data
zbMATH Open document ID: 1082.35161
DOI: 10.1023/B:JOTH.0000034024.38243.02
published in: Journal of Mathematical Sciences (New York)
publication date: 2005-06-28T00:00:00Z
review text: The paper deals with the inverse problem to recover the smooth dielectric and magnetic permeabilities \(\epsilon\) and \(\mu\) of the time-dependent Maxwell system from dynamical boundary data. Maxwell's equation are considered in a bounded domain with smooth boundary, zero initial values and with Dirichlet condition for the tangent component of the electric field. The authors prove that the permeabilities can be determined uniquely in the entire domain from the response operator which maps the tangent component of the electric field on the boundary to the tangent component of the magnetic field. It is sufficient that the response is given for a sufficiently large, but finite time interval. The theorem is based on the Holmgren-John-Tataru theorem for the Maxwell system.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A46
zbMATH DE Number: 2183294
zbMATH Keywords: inverse problem
zbMATH Keywords: uniqueness
zbMATH Keywords: Holmgren-John-Tataru theorem
author: M. I. Belishev
author: Victor Isakov
reviewed by: Gunther Schmidt
MaRDI profile type: Publication
full work available at URL: b:joth.0000034024.38243.02
OpenAlex ID: W1984133431
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description: scientific article; zbMATH DE number 2183294