Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data
type: Item
instance of: scholarly article
title: Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data
author: Jesse Railo
author: Philipp Zimmermann
published in: Inverse Problems and Imaging
publication date: 2023-04-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/2203.02442
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 42B37
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 7675900
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: fractional gradient
zbMATH Keywords: Calderón problem
MaRDI profile type: Publication
OpenAlex ID: W4296836658
Wikidata QID: Q124809802
cites work: Sobolev spaces on non-Lipschitz subsets of \(\mathbb {R}^n\) with application to boundary integral equations on fractal screens
cites work: An inverse problem for the fractional Schrödinger equation in a magnetic field
cites work: Inverse problems for a fractional conductivity equation
cites work: Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
cites work: The higher order fractional Calderón problem for linear local operators: uniqueness
cites work: Non-uniqueness results for the anisotropic Calderón problem with data measured on disjoint sets
cites work: On the hidden mechanism behind non-uniqueness for the anisotropic Calderón problem with data on disjoint sets
cites work: The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility
cites work: ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA
cites work: A survey of non-uniqueness results for the anisotropic Calder{\'o}n problem with disjoint data
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
cites work: The Calderón problem for variable coefficients nonlocal elliptic operators
cites work: Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
cites work: The Calderón problem for the fractional Schrödinger equation
cites work: Invisibility and inverse problems
cites work: The Calderón problem for conormal potentials I: Global uniqueness and reconstruction
cites work: On nonuniqueness for Calderón's inverse problem
cites work: On instability mechanisms for inverse problems
cites work: Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
cites work: Inverse problems for fractional semilinear elliptic equations
cites work: Determining the magnetic potential in the fractional magnetic Calderón problem
cites work: An inverse problem for a fractional diffusion equation with fractional power type nonlinearities
cites work: Counterexamples to inverse problems for the wave equation
cites work: Nonlocal equations in bounded domains: a survey
cites work: On Single Measurement Stability for the Fractional Calderón Problem
cites work: Exponential instability in the fractional Calderón problem
cites work: The fractional Calderón problem: low regularity and stability
cites work: A global uniqueness theorem for an inverse boundary value problem
cites work: Electrical impedance tomography and Calderón's problem
cites work: Inverse problems: seeing the unseen
DOI: 10.3934/IPI.2022048
description: scientific article; zbMATH DE number 7675900