A1 Journal article (refereed)
Uniqueness in an inverse problem of fractional elasticity (2023)


Covi, G., de Hoop, M., & Salo, M. (2023). Uniqueness in an inverse problem of fractional elasticity. Proceedings of the Royal Society A : Mathematical, Physical and Engineering Sciences, 479(2278), Article 20230474. https://doi.org/10.1098/rspa.2023.0474


JYU authors or editors


Publication details

All authors or editorsCovi, Giovanni; de Hoop, Maarten; Salo, Mikko

Journal or seriesProceedings of the Royal Society A : Mathematical, Physical and Engineering Sciences

ISSN1364-5021

eISSN1471-2946

Publication year2023

Volume479

Issue number2278

Article number20230474

PublisherThe Royal Society

Publication countryUnited Kingdom

Publication languageEnglish

DOIhttps://doi.org/10.1098/rspa.2023.0474

Publication open accessNot open

Publication channel open access

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/90188

Web address of parallel published publication (pre-print)https://arxiv.org/abs/2209.15316


Abstract

We study a nonlinear inverse problem for fractional elasticity. In analogy to the classical problem of linear elasticity, we consider the unique recovery of the Lamé parameters associated with a linear, isotropic fractional elasticity operator from fractional Dirichlet-to-Neumann data. In our analysis, we make use of a fractional matrix Schrödinger equation via a generalization of the so-called Liouville reduction to the case of fractional elasticity. We conclude that unique recovery is possible if the Lamé parameters agree and are constant in the exterior, and their Poisson ratios agree everywhere. Our study is motivated by the significant recent activity in the field of nonlocal elasticity.


Keywordsinverse problemspartial differential equationselasticity (physical properties)

Free keywordsnonlocal operators; fractional Calderón problem; inverse problems; fractional elasticity; isotropic elasticity


Contributing organizations


Ministry reportingYes

VIRTA submission year2023

JUFO rating2


Last updated on 2025-05-03 at 23:06