Carleman estimates for the Lamé system with stress boundary condition

DOI10.2977/PRIMS/1201012379zbMath1180.35580OpenAlexW2000187478MaRDI QIDQ945587

Masahiro Yamamoto, Oleg Yurievich Imanuvilov

Publication date: 12 September 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1201012379

zbMATH Keywords

Carleman estimatesstress boundary conditionLamé system

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Free boundary problems for PDEs (35R35) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (9)

On inverse problems for piezoelectric equation: stability analysis and numerical method ⋮ A Carleman estimate and an energy method for a first-order symmetric hyperbolic system ⋮ Inverse parabolic problems by Carleman estimates with data taken at initial or final time moment of observation ⋮ An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves ⋮ Inverse Problems for a Compressible Fluid System ⋮ Carleman estimate and an inverse source problem for the Kelvin–Voigt model for viscoelasticity ⋮ An inverse problem and an observability inequality for the Lamé system with stress boundary condition ⋮ Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions ⋮ Inverse coefficient problems for a transport equation by local Carleman estimate

Cites Work

• Carleman type estimates in an anisotropic case and applications
• Uniqueness and non-uniqueness in the Cauchy problem
• The unique continuation property of an elliptic system. The Lamé system
• Carleman estimates and unique continuation for solutions to boundary value problems
• Unique continuation for systems with Lamé principal part
• Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
• Inverse problems and Carleman estimates
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Distribution of resonances and decay rate of the local energy for the elastic wave equation
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