Carleman estimates for the Lamé system with stress boundary condition
type: Item
instance of: scholarly article
title: Carleman estimates for the Lamé system with stress boundary condition
zbMATH Open document ID: 1180.35580
author: M. Yamamoto
author: O. Yu. Imanuvilov
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2008-09-12T00:00:00Z
review text: For deflection functions without compact support, Carleman estimates for the two-dimensional non-stationary Lamé system in linear elasticity with stress (Neumann) boundary condition are established. Among possible applications of these Carleman estimates, the author mention the sharp unique continuation/conditional stability results for the Cauchy problem for the Lamé system, the exact controllability of the Lamé system with stress boundary conditions by means of controls in a subdomain or on a sub-boundary, and an inverse problem of determining the Lamé coefficients of the elastic, isotropic and inhomogeneous medium, and the density by deflection measurements in a subdomain.
reviewed by: Daniel Lesnic
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B60
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 5343279
zbMATH Keywords: Carleman estimates
zbMATH Keywords: Lamé system
zbMATH Keywords: stress boundary condition
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1201012379
OpenAlex ID: W2000187478
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DOI: 10.2977/PRIMS/1201012379
description: scientific article; zbMATH DE number 5343279