Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems

DOI10.1007/978-3-319-30961-3_10zbMath1408.35028OpenAlexW2520968026MaRDI QIDQ4555491

Carlos E. Kenig, Jenn-Nan Wang

Publication date: 20 November 2018

Published in: Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-30961-3_10

zbMATH Keywords

unique continuationelliptic systemselasticity system

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Second-order elliptic systems (35J47)

Related Items (4)

Liouville-type theorem for the Lamé system with singular coefficients ⋮ Strong unique continuation for the Lamé system with less regular coefficients ⋮ The interior transmission eigenvalue problem for elastic waves in media with obstacles ⋮ On the Characterization of Nonradiating Sources for the Elastic Waves in Anisotropic Inhomogeneous Media

Cites Work

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• Quantitative strong unique continuation for the Lamé system with less regular coefficients
• Uniqueness in rough almost complex structures, and differential inequalities
• Strong unique continuation for general elliptic equations in 2D
• The failure of rank-one connections
• On the unique continuation property of elliptic divergence form equations in the plane
• Convex integration for Lipschitz mappings and counterexamples to regularity
• $L^p$--bounds for the Beurling--Ahlfors transform
• Non-unicité pour des opérateurs différentiels à caractéristiques complexes simples
• Smooth Counterexamples to Strong Unique Continuation for a Beltrami System in ℂ²
• Null-controllability of one-dimensional parabolic equations

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