An inverse problem for a dynamical Lamé system with residual stress
Isakov, Victor Wang, Jenn-Nan Yamamoto, Masahiro
Isakov, Victor
Wang, Jenn-Nan
Yamamoto, Masahiro
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Authors
Isakov, Victor
Wang, Jenn-Nan
Yamamoto, Masahiro
Wang, Jenn-Nan
Yamamoto, Masahiro
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Digitization Date
Issue Date
2007-12-19
Type
Article
Genre
Keywords
Inverse problem,Carleman estimates,Elasticity system with residual stress
Subjects (LCSH)
Citation
Isakov, Victor. 2007. An inverse problem for a dynamical Lamé system with residual stress. SIAM Journal on Mathematical Analysis.
Abstract
In 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.
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Publisher
Society for Industrial and Applied Mathematics
Journal
Book Title
Series
SIAM Journal on Mathematical Analysis;v.39 no.4
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PubMed ID
DOI
ISSN
0036-1410
1095-7154
1095-7154