@article{ba50eb8a4c5848fbb74e321546dd17b8,
title = "LIPSCHITZ STABLE DETERMINATION OF POLYHEDRAL CONDUCTIVITY INCLUSIONS FROM LOCAL BOUNDARY MEASUREMENTS",
abstract = "We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stability for the polyhedral inclusion from the local Dirichlet-to-Neumann map extending in a highly nontrivial way the results obtained in [E. Beretta and E. Francini, Appl. Anal., 101 (2022), pp. 3536-3549] and [E. Beretta, E. Francini, and S. Vessella, SIAM J. Math. Anal., 53 (2021), pp. 4303-4327] in the two-dimensional case to the three-dimensional setting.",
keywords = "Lipschitz stability, conductivity inclusion, polyhedral inclusion",
author = "Andrea Aspri and Elena Beretta and Elisa Francini and Sergio Vessella",
note = "Funding Information: \ast Received by the editors February 24, 2022; accepted for publication (in revised form) July 5, 2022; published electronically September 13, 2022. https://doi.org/10.1137/22M1480550 Funding: The work of the third and fourth authors was partially supported by the Italian Ministry of Education, University and Research (MIUR) research project 201758MTR2, Prin 2017, ``Direct and inverse problems for partial differential equations: Theoretical aspects and applications.{"}{"} \dagger Department of Mathematics, Universit\{\`a} degli Studi di Milano, Milan, Italy (andrea. aspri@unimi.it). \ddagger Department of Mathematics, NYU Abu Dhabi, Abu Dhabi, United Arab Emirates (eb147@nyu.edu). \S Department of Mathematics and Computer Science, Universit\{\`a} degli Studi di Firenze, Florence, Italy (elisa.francini@unifi.it, sergio.vessella@unifi.it). Publisher Copyright: {\textcopyright} 2022 Society for Industrial and Applied Mathematics.",
year = "2022",
doi = "10.1137/22M1480550",
language = "English (US)",
volume = "54",
pages = "5182--5222",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "5",
}