G-convergence, Dirichlet to Neumann maps and invisibility

We establish optimal conditions under which the G-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials from [19] are independent of the source.

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Bibliographic Details
Published in:Journal of functional analysis 2014-10, Vol.267 (7), p.2478-2506
Main Authors: Faraco, Daniel, Kurylev, Yaroslav, Ruiz, Alberto
Format: Article
Language:English
Subjects:
Dirichlet to Neumann map
G-convergence
Inverse conductivity problem
Invisibility
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Description
Summary:We establish optimal conditions under which the G-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials from [19] are independent of the source.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2014.06.005