Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data

DOI10.3934/ipi.2022048OpenAlexW4296836658WikidataQ124809802 ScholiaQ124809802MaRDI QIDQ2697371

Jesse Railo, Philipp Zimmermann

Publication date: 18 April 2023

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02442

zbMATH Keywords

fractional LaplacianCalderón problemfractional gradient

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)

Related Items (4)

Fractional Calderón problems and Poincaré inequalities on unbounded domains ⋮ Stability Estimates for the Inverse Fractional Conductivity Problem ⋮ Inverse problem for a nonlocal diffuse optical tomography equation ⋮ Low regularity theory for the inverse fractional conductivity problem

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