Quantitative uniqueness in the Lamé system: a step closer to optimal coefficient regularity

DOI10.1016/J.JDE.2024.03.027MaRDI QIDQ6499945

Ching-Lung Lin, Jenn-Nan Wang, Rulin Kuan

Publication date: 10 May 2024

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

zbMATH Keywords

Carleman estimatesLamé systemquantitative unique continuation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

• Quantitative strong unique continuation for the Lamé system with less regular coefficients
• Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients
• Strong unique continuation for the Lamé system with Lipschitz coefficients
• Strong unique continuation for the Lamé system with less regular coefficients
• STRONG UNIQUE CONTINUATION FOR THE LAMÉ SYSTEM OF ELASTICITY1*
• Doubling inequalities for the Lamé system with rough coefficients
• An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
• Unique continuation for the system of elasticity in the plane
• Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems
• Doubling properties of caloric functions
• Liouville-type theorem for the Lamé system with singular coefficients

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