Stability estimates for the inverse fractional conductivity problem

This paper focuses on an inverse problem associated with the plate equation which is derived from models in fluid mechanics and elasticity. We establish the unique identifying results in simultaneously determining both the unknown density and the internal sources from the passive boundary measuremen...

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Bibliographic Details
Main Authors: Covi, Giovanni (Author) , Railo, Jesse (Author) , Tyni, Teemu (Author) , Zimmermann, Philipp (Author)
Format: Article (Journal)
Language:English
Published: Apr 2024
In: SIAM journal on mathematical analysis
Year: 2024, Volume: 56, Issue: 2, Pages: 2456-2487
ISSN:1095-7154
DOI:10.1137/22M1533542
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/22M1533542
Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/22M1533542
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Author Notes:Giovanni Covi, Jesse Railo, Teemu Tyni, and Philipp Zimmermann
Description
Summary:This paper focuses on an inverse problem associated with the plate equation which is derived from models in fluid mechanics and elasticity. We establish the unique identifying results in simultaneously determining both the unknown density and the internal sources from the passive boundary measurement. The proof mainly relies on the asymptotic analysis and harmonic analysis on integral transforms.
Item Description:Veröffentlicht: March 19, 2024
Gesehen am 08.10.2024
Physical Description:Online Resource
ISSN:1095-7154
DOI:10.1137/22M1533542