Three spheres inequalities for a two-dimensional elliptic system and its application

DOI10.1016/j.jde.2006.09.005zbMath1387.35195OpenAlexW2051849361MaRDI QIDQ859531

Ching-Lung Lin, Gen Nakamura, Jenn-Nan Wang

Publication date: 16 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.09.005

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Boundary value problems for higher-order elliptic equations (35J40) Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (3)

Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate ⋮ Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements ⋮ Conditional Stability for the Hexagonal Anisotropic Elastic Dynamical Systems

Cites Work

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• Strong unique continuation for the Lamé system with Lipschitz coefficients
• Three-spheres theorem for second order elliptic equations
• Quantitative uniqueness for second-order elliptic operators
• Pointwise bounds in the Cauchy problem for elliptic systems of partial differential equations
• STRONG UNIQUE CONTINUATION FOR THE LAMÉ SYSTEM OF ELASTICITY1*
• Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
• Detecting an Inclusion in an Elastic Body by Boundary Measurements
• Stable determination of cavities in elastic bodies
• Inverse problems for partial differential equations

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