Faraco, D;
Kurylev, Y;
Ruiz, A;
(2014)
G-convergence, Dirichlet to Neumann maps and invisibility.
Journal of Functional Analysis
, 267
(7)
pp. 2478-2506.
10.1016/j.jfa.2014.06.005.
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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.
| Type: | Article |
|---|---|
| Title: | G-convergence, Dirichlet to Neumann maps and invisibility |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jfa.2014.06.005 |
| Publisher version: | http://dx.doi.org/10.1016/j.jfa.2014.06.005 |
| Language: | English |
| Additional information: | This manuscript version is made available under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International license (CC BY-NC-ND 4.0). This license allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licenses are available at https://creativecommons.org/licenses/. Access may be initially restricted by the publisher. |
| Keywords: | Inverse conductivity problem; Invisibility; G-convergence; Dirichlet to Neumann map |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1421721 |
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