A Partial Data Problem in Linear Elasticity

We discuss the determination of the Lamé parameters of an elastic material by the means of boundary measurements. We will combine previous results of Eskin-Ralston and Isakov to prove inverse results in the case of bounded domains with partial data. Moreover, we generalise these results to infinite...

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Veröffentlicht in:	arXiv.org 2019-07
Hauptverfasser:	Doll, Moritz, Froehly, André, Schulz, René
Format:	Artikel
Sprache:	eng
Schlagworte:	Cylinders Domains Elasticity Mathematics - Analysis of PDEs Mathematics - Mathematical Physics Physics - Mathematical Physics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We discuss the determination of the Lamé parameters of an elastic material by the means of boundary measurements. We will combine previous results of Eskin-Ralston and Isakov to prove inverse results in the case of bounded domains with partial data. Moreover, we generalise these results to infinite cylinders.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1902.04838