@article{8fb7b3c148704db98a71f1bc06f8ee70,
title = "Lipschitz stable determination of polygonal conductivity inclusions in a two-dimensional layered medium from the dirichlet-to-neumann map",
abstract = "Using a distributed representation formula of the Gateaux derivative of the Dirichletto- Neumann map with respect to movements of a polygonal conductivity inclusion, [Beretta, et al., J. Comput. Phys., 353 (2018), pp. 264-280], we extend the results obtained in [E. Beretta and E. Francini, Appl. Anal., to appear], proving global Lipschitz stability for the determination of a polygonal conductivity inclusion, embedded in a two-dimensional layered medium, from knowledge of the Dirichlet-to-Neumann map.",
keywords = "Conductivity equation, Inverse problems, Polygonal inclusions, Shape derivative, Stability",
author = "ELENA BERETTA and ELISA FRANCINI and SERGIO VESSELLA",
note = "Funding Information: \ast Received by the editors September 25, 2020; accepted for publication (in revised form) April 19, 2021; published electronically August 4, 2021. https://doi.org/10.1137/20M1369609 \bfF \bfu \bfn \bfd \bfi \bfn \bfg : The work of the second and third authors was partially supported by the Research Project 201758MTR2 of the Italian Ministry of Education, University and Research (MIUR) Prin 2017 ``Direct and inverse problems for partial differential equations: theoretical aspects and applications.{"}{"} \dagger Dipartimento di Matematica ``Brioschi,{"}{"} Politecnico di Milano and New York University Abu Dhabi (elena.beretta@polimi.it). \ddagger Dipartimento di Matematica e Informatica ``U. Dini,{"}{"} Universit\{\`a} di Firenze (elisa.francini@unifi. it, sergio.vessella@unifi.it). Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.",
year = "2021",
doi = "10.1137/20M1369609",
language = "English (US)",
volume = "53",
pages = "4303--4327",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "4",
}