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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Bibliographic Details
Published inarXiv.org
Main Authors Doll, Moritz, Froehly, André, Schulz, René
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.07.2019
Subjects
Cylinders
Domains
Elasticity
Mathematics - Analysis of PDEs
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Summary: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