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


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Publication details

All authors or editorsCovi, Giovanni

Journal or seriesNonlinear Analysis: Theory, Methods and Applications

ISSN0362-546X

eISSN1873-5215

Publication year2020

Volume193

Issue number0

Pages range111418

PublisherPergamon Press

Publication countryUnited Kingdom

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.na.2019.01.008

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


Abstract

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