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dc.contributor.authorIsakov, Victor, 1947-
dc.contributor.authorWang, Jenn-Nan
dc.contributor.authorYamamoto, Masahiro
dc.identifier.citationIsakov, Victor. 2007. An inverse problem for a dynamical Lamé system with residual stress. SIAM Journal on Mathematical Analysis.en_US
dc.descriptionClick on the DOI link to access the article (may not be free)en_US
dc.description.abstractIn this paper we prove a Hölder and Lipschitz stability estimates of determining all coefficients of a dynamical Lamé system with residual stress, including the density, Lam´e parameters, and the residual stress, by three pairs of observations from the whole boundary or from a part of it. These estimates imply first uniqueness results for determination of all parameters in the residual stress systems from few boundary measurements. Our essential assumptions are that the Lam´e system possesses a suitable pseudoconvex function, residual stress is small, and three sets of the initial data satisfy some independency condition.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.relation.ispartofseriesSIAM Journal on Mathematical Analysis;v.39 no.4
dc.subjectInverse problem
dc.subjectCarleman estimates
dc.subjectElasticity system with residual stress
dc.titleAn inverse problem for a dynamical Lamé system with residual stressen_US
dc.description.versionPeer reviewed
dc.description.versionPeer reviewed
dc.rights.holderCopyright © 2007 Society for Industrial and Applied Mathematics

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