An Inverse Problem for a Dynamical Lamé System with Residual Stress

DOI10.1137/060669115zbMath1155.35489OpenAlexW2036153932MaRDI QIDQ3516121

Victor Isakov, Jenn-Nan Wang, Masahiro Yamamoto

Publication date: 1 August 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9996a5d4302671861ca97ad51573593c983cb288

zbMATH Keywords

inverse problemCarleman estimateselasticity system with residual stressLipschitz stability estimateHölder stability estimate

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Linear elasticity with initial stresses (74B10) Inverse problems for PDEs (35R30)

Related Items (9)

An inverse problem in elastography involving Lamé systems ⋮ Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates ⋮ Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation ⋮ Inverse Problems for a Compressible Fluid System ⋮ Non-destructive identification of residual stresses in steel under thermal loadings ⋮ Carleman estimate for wave equations coupled with the second order terms ⋮ Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity ⋮ Carleman Estimates with Second Large Parameter for Second Order Operators ⋮ Sensitivity analysis for some inverse problems in linear elasticity via minimax differentiability

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