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arXiv · 1311.5466

G-Convergence, Dirichlet to Neumann maps and invisibility

Daniel Faraco·Yaroslav Kurylev·Alberto Ruiz
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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 [ Greenleaf, A.; Kurylev, Y.; Lassas, M.; Uhlmann, G. Approximate quantum and acoustic cloaking. J. Spectr. Theory (2011), no. 1, 27--80.] are independent of the source.

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Daniel Faraco, Yaroslav Kurylev, Alberto Ruiz. 2013-11-21. G-Convergence, Dirichlet to Neumann maps and invisibility. https://arxiv.org/abs/1311.5466

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