Uniqueness on recovery of piecewise constant conductivity and inner core with one measurement
type: Item
instance of: scholarly article
title: Uniqueness on recovery of piecewise constant conductivity and inner core with one measurement
zbMATH Open document ID: 1395.35075
author: Xiaoping Fang
author: Youjun Deng
published in: Inverse Problems and Imaging
publication date: 2018-09-14T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 31B10
zbMATH DE Number: 6936165
zbMATH Keywords: inverse medium problem
zbMATH Keywords: uniqueness
zbMATH Keywords: layer potential
zbMATH Keywords: transmission condition
zbMATH Keywords: unique continuation
MaRDI profile type: Publication
full work available at URL: ipi.2018031
OpenAlex ID: W2795102297
cites work: Determining a sound-soft polyhedral scatterer by a single far-field measurement
cites work: Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance
cites work: Reconstruction of small inhomogeneities from boundary measurements
cites work: Polarization and moment tensors. With applications to inverse problems and effective medium theory
cites work: Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem
cites work: Enhancement of near-cloaking. II: The Helmholtz equation
cites work: Enhancement of Near Cloaking for the Full Maxwell Equations
cites work: The Inverse Conductivity Problem with One Measurement: Uniqueness for Convex Polyhedra
cites work: Uniqueness Theorems for the Inverse Problem of Acoustic Scattering
cites work: Plasmon resonance and heat generation in nanostructures
cites work: On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
cites work: Q3482261
cites work: Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
cites work: Inverse problems for partial differential equations
cites work: On the inverse conductivity problem with one measurement
cites work: Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in $\Bbb R^3$
cites work: Q5531949
cites work: Poincaré's variational problem in potential theory
cites work: Two single-shot methods for locating multiple electromagnetic scatterers
cites work: Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data
cites work: Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers
cites work: On the uniqueness in the inverse conductivity problem
cites work: A global uniqueness theorem for an inverse boundary value problem
cites work: Q3198265
cites work: Inverse boundary value problems for partial differential equations
cites work: Q4945141
Wikidata QID: Q130001725
DOI: 10.3934/IPI.2018031
description: scientific article; zbMATH DE number 6936165