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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Hauptverfasser: Covi, Giovanni (VerfasserIn) , Railo, Jesse (VerfasserIn) , Tyni, Teemu (VerfasserIn) , Zimmermann, Philipp (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: Apr 2024
In: SIAM journal on mathematical analysis
Year: 2024, Jahrgang: 56, Heft: 2, Pages: 2456-2487
ISSN:1095-7154
DOI:10.1137/22M1533542
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/22M1533542
Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/22M1533542
Volltext
Verfasserangaben:Giovanni Covi, Jesse Railo, Teemu Tyni, and Philipp Zimmermann
Beschreibung
Zusammenfassung: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.
Beschreibung:Veröffentlicht: March 19, 2024
Gesehen am 08.10.2024
Beschreibung:Online Resource
ISSN:1095-7154
DOI:10.1137/22M1533542