G-convergence,Dirichlet to Neumann maps and invisibility |
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| Authors: | Daniel Faraco Yaroslav Kurylev Alberto Ruiz |
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| Affiliation: | 1. Departamento de Matemáticas, Universidad Autónoma de Madrid and Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, 28049 Madrid, Spain;2. Dept. of Mathematics, University College London, Gower Street, London WC1E 6BT, UK |
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| Abstract: | 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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| Keywords: | primary, 35J25, 35B27, 35J15, 45Q05 secondary, 42B37, 35J67 |
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