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. doi:10.1016/j.na.2019.01.008


JYU authors or editors


Publication details

All authors or editors: Covi, Giovanni

Journal or series: Nonlinear Analysis: Theory, Methods and Applications

ISSN: 0362-546X

eISSN: 1873-5215

Publication year: 2020

Volume: 193

Issue number: 0

Pages range: 111418

Publisher: Pergamon Press

Publication country: United Kingdom

Publication language: English

DOI: http://doi.org/10.1016/j.na.2019.01.008

Open Access: Open access publication published in a hybrid channel

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

Publication is parallel published: https://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.


Keywords: inverse problems; partial differential equations

Free keywords: fractional conductivity equation; non-local operators; calderón problem


Contributing organizations


Related projects

Inverse boundary problems - toward a unified theory
Salo, Mikko
European Commission
01/05/2018-30/04/2023


Ministry reporting: Yes

Reporting Year: 2020

Preliminary JUFO rating: 1


Last updated on 2020-18-10 at 21:05