Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients

DOI10.1215/00127094-2010-054zbMath1202.35325arXiv0901.4638OpenAlexW1972754478MaRDI QIDQ605918

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

Publication date: 15 November 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4638

zbMATH Keywords

Carleman estimatesLamé systemstrong unique continuation property

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for first-order elliptic systems (35J56)

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Cites Work

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• Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
• Strong uniqueness for second order differential operators
• Strong unique continuation for the Lamé system with Lipschitz coefficients
• The unique continuation property of an elliptic system. The Lamé system
• Quantitative uniqueness for second order elliptic operators with strongly singular coefficients
• Unique continuation for systems with Lamé principal part
• STRONG UNIQUE CONTINUATION FOR THE LAMÉ SYSTEM OF ELASTICITY1*
• Nonunique continuation for uniformly parabolic and elliptic equations in selfadjoint divergence form with Hölder continuous coefficients
• Unique continuation for the system of elasticity in the plane
• Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss–Sakamoto condition
• Unique continuation for elliptic operators: A geometric-variational approach
• Strong unique continuation for stokes equations
• Prolongement Unique Des Solutions
• Doubling properties of caloric functions