Carleman Estimates with Second Large Parameter for Second Order Operators

DOI10.1007/978-0-387-85652-0_3zbMath1171.35021OpenAlexW121862452MaRDI QIDQ3613593

Victor Isakov, Nanhee Kim

Publication date: 12 March 2009

Published in: Sobolev Spaces in Mathematics III (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-85652-0_3

zbMATH Keywords

Carleman estimateslarge parameteranisotropic system of elasticitydynamical Lamé systemlinear second order differential operator

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) A priori estimates in context of PDEs (35B45) Higher-order hyperbolic systems (35L55)

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Uniqueness and stability of an inverse problem for a phase field model using data from one component ⋮ Stability result for two coefficients in a coupled hyperbolic-parabolic system ⋮ Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation ⋮ A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium ⋮ Carleman estimate for Biot consolidation system in poro‐elasticity and application to inverse problems

Cites Work

• Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
• Carleman estimates with a second large parameter
• On the Uniqueness of the Continuation for a Thermoelasticity System
• An Inverse Problem for a Dynamical Lamé System with Residual Stress
• A nonhyperbolic cauchy problem for □b□c and its applications to elasticity theory
• CARLEMAN ESTIMATES AND INVERSE PROBLEMS FOR SECOND ORDER HYPERBOLIC EQUATIONS
• Hartig's law and linear elasticity with initial stress
• An inverse problem for the dynamical Lamé system with two sets of boundary data
• Uniqueness in Inverse Problems for Elastic Media with Residual Stress
• Uniqueness and Stability of Determining the Residual Stress by One Measurement
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