Volume 11, Number 1, January 2005
|Page(s)||1 - 56|
|Published online||15 December 2004|
Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
Department of Mathematics, Iowa State University,
400 Carver Hall Ames IA 50011-2064 USA; firstname.lastname@example.org
2 Department of Mathematical Sciences, The University of Tokyo, Komaba Meguro Tokyo 153-8914 Japan; email@example.com
Revised: 22 August 2003
In this paper, we establish Carleman estimates for the two dimensional isotropic non-stationary Lamé system with the zero Dirichlet boundary conditions. Using this estimate, we prove the uniqueness and the stability in determining spatially varying density and two Lamé coefficients by a single measurement of solution over (0,T) x ω, where T > 0 is a sufficiently large time interval and a subdomain ω satisfies a non-trapping condition.
Mathematics Subject Classification: 35B60 / 35R25 / 35R30 / 73C02
Key words: Carleman estimate / Lamé system / inverse problem.
© EDP Sciences, SMAI, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.