Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates

DOI10.1080/00036811.2014.983486zbMath1336.35220OpenAlexW1989502798WikidataQ58180311 ScholiaQ58180311MaRDI QIDQ3452447

Shumin Li

Publication date: 12 November 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.983486

zbMATH Keywords

hyperbolic systemsCarleman estimatesvariable coefficientsanisotropic casesweight functions of special form

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) A priori estimates in context of PDEs (35B45) Second-order hyperbolic systems (35L51)

Related Items (5)

Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds ⋮ Uniqueness and stability for the recovery of a time-dependent source in elastodynamics ⋮ Carleman estimate for wave equations coupled with the second order terms ⋮ An inverse problem for Maxwell's equations in a uniaxially anisotropic medium ⋮ Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. I: Carleman estimates

Cites Work

• Carleman type estimates in an anisotropic case and applications
• A Carleman inequality for the stationary anisotropic Maxwell system
• Uniqueness and stability in multidimensional hyperbolic inverse problems
• An inverse problem for Maxwell's equations in anisotropic media
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• Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Inverse boundary value problem for the dynamical heterogeneous Maxwell's system
• An Inverse Problem for a Dynamical Lamé System with Residual Stress
• Inverse Problem of Determining the Density and Two Lamé Coefficients by Boundary Data
• CARLEMAN ESTIMATES AND INVERSE PROBLEMS FOR SECOND ORDER HYPERBOLIC EQUATIONS
• Inverse problems and Carleman estimates
• Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities
• An inverse problem for the dynamical Lamé system with two sets of boundary data
• Determination of a coefficient in an acoustic equation with a single measurement
• An inverse problem for Maxwell's equations in isotropic and non-stationary media
• An Inverse Problem for Maxwell's Equations in Bi-isotropic Media

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