Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements

Elena Beretta; Elisa Francini

doi:10.1080/00036811.2020.1775819

Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements

Elena Beretta, Elisa Francini

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We derive Lipschitz stability estimates for the Hausdorff distance of polygonal conductivity inclusions in terms of the Dirichlet-to-Neumann map.

Original language	English (US)
Pages (from-to)	3536-3549
Number of pages	14
Journal	Applicable Analysis
Volume	101
Issue number	10
DOIs	https://doi.org/10.1080/00036811.2020.1775819
State	Published - 2022

Keywords

J. N. Wang
Polygonal inclusions
conductivity equation
inverse problems
stability

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2020.1775819

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@article{aea953ce32754adba82413745ea5c047,

title = "Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements",

abstract = "We derive Lipschitz stability estimates for the Hausdorff distance of polygonal conductivity inclusions in terms of the Dirichlet-to-Neumann map.",

keywords = "J. N. Wang, Polygonal inclusions, conductivity equation, inverse problems, stability",

author = "Elena Beretta and Elisa Francini",

note = "Funding Information: The paper was partially supported by GNAMPA–INdAM. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2022",

doi = "10.1080/00036811.2020.1775819",

language = "English (US)",

volume = "101",

pages = "3536--3549",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

number = "10",

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TY - JOUR

T1 - Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements

AU - Beretta, Elena

AU - Francini, Elisa

PY - 2022

Y1 - 2022

N2 - We derive Lipschitz stability estimates for the Hausdorff distance of polygonal conductivity inclusions in terms of the Dirichlet-to-Neumann map.

AB - We derive Lipschitz stability estimates for the Hausdorff distance of polygonal conductivity inclusions in terms of the Dirichlet-to-Neumann map.

KW - J. N. Wang

KW - Polygonal inclusions

KW - conductivity equation

KW - inverse problems

KW - stability

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DO - 10.1080/00036811.2020.1775819

M3 - Article

AN - SCOPUS:85086879627

VL - 101

SP - 3536

EP - 3549

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

IS - 10

ER -

Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements

Abstract

Keywords

ASJC Scopus subject areas

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