A1 Journal article (refereed)
Inverse problems for a fractional conductivity equation (2020)

Covi, G. (2020). Inverse problems for a fractional conductivity equation. Nonlinear Analysis: Theory, Methods and Applications, 193, 111418. https://doi.org/10.1016/j.na.2019.01.008

JYU authors or editors

Publication details

All authors or editorsCovi, Giovanni

Journal or seriesNonlinear Analysis: Theory, Methods and Applications



Publication year2020


Issue number0

Pages range111418

PublisherPergamon Press

Publication countryUnited Kingdom

Publication languageEnglish


Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/67895

Publication is parallel publishedhttps://arxiv.org/abs/1810.06319


This paper shows global uniqueness in two inverse problems for a fractional conductivity equation: an unknown conductivity in a bounded domain is uniquely determined by measurements of solutions taken in arbitrary open, possibly disjoint subsets of the exterior. Both the cases of infinitely many measurements and a single measurement are addressed. The results are based on a reduction from the fractional conductivity equation to the fractional Schrödinger equation, and as such represent extensions of previous works. Moreover, a simple application is shown in which the fractional conductivity equation is put into relation with a long jump random walk with weights.

Keywordsinverse problemspartial differential equations

Free keywordsfractional conductivity equation; non-local operators; calderón problem

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Ministry reportingYes

Reporting Year2020

JUFO rating1

Last updated on 2024-22-04 at 11:43