Lipschitz stability in the lateral Cauchy problem for elasticity system

DOI10.1215/kjm/1250283691zbMath1067.35142OpenAlexW2122432836MaRDI QIDQ1890289

Yanyan Li

Publication date: 29 December 2004

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250283691

zbMATH Keywords

Carleman estimatescontinuous dependence resultsCauchy lateral problemIsotropic elasticity system

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stability of dynamical problems in solid mechanics (74H55) Ill-posed problems for PDEs (35R25) Initial value problems for second-order hyperbolic equations (35L15)

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Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality ⋮ Stability for Time-Domain Elastic Wave Equations ⋮ Observability inequalities by internal observation and their applications ⋮ Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations ⋮ Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes ⋮ Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Lipschitz stability in determining density and two Lamé coefficients ⋮ Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability ⋮ Uniqueness and stability in inverse parabolic equations with memory ⋮ An Inverse Source Problem for the Elastic Wave in the Lower Half-Space

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