Lipschitz stable determination of polygonal conductivity inclusions in a\n layered medium from the Dirichlet to Neumann map

2020/08/29 by Elena Beretta, Beretta, Elena, Elisa Francini +3
Computer Science · Engineering · Mathematics · #35J25 #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Electrical and Bioimpedance Tomography #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2008.12951

openalex publication_date 2020/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a distributed representation formula of the Gateaux derivative of the\nDirichlet to Neumann map with respect to movements of a polygonal conductivity\ninclusion, [11], we extend the results obtained in [8] proving global Lipschitz\nstability for the determination of a polygonal conductivity inclusion embedded\nin a layered medium from knowledge of the Dirichlet to Neumann map.\n

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