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Lipschitz stability in determining density and two Lamé coefficients by Mourad Bellassoued; Masahiro Yamamoto is a Mathematics article available to read on EtoBox.

What is Lipschitz stability in determining density and two Lamé coefficients about?

We consider an inverse problem of determining spatially varying density and two Lamé coefficients in a non-stationary isotropic elastic equation by a single measurement of data on the whole lateral boundary. We prove the Lipschitz stability provided that initial data are suitably chosen. The proof is based on a Carleman estimate which can be obtained by the decomposition of the Lamé system into the rotation and the divergence components.

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Author

Mourad Bellassoued; Masahiro Yamamoto

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)