Quantitative strong unique continuation for the Lamé system with less regular coefficients

2010/05/19 by Ching‐Lung Lin, C. -L. Lin, Gen Nakamura +11 · 3 citations
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #math.AP

paper · pdf · doi:10.48550/arxiv.1005.3382

10 pages

arxiv created 2010/05/19 · arxiv updated 2010/05/20

Abstract

In this paper we prove a quantitative form of the strong unique continuation property for the Lamé system when the Lamé coefficients μ is Lipschitz and λ is essentially bounded in dimension n≥ 2. This result is an improvement of our earlier result \citelin5 in which both μ and λ were assumed to be Lipschitz.

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• Direct reconstruction of general elastic inclusions
• The elastic wave equation of limited smoothness
• Stability analysis of an inverse coefficients problem in a system of partial differential equations

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