Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*
Mathematical Sciences, Fudan University, 200433 Shanghai, P.R. China. email@example.com
Revised: 25 January 2010
This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µ in three dimensions, where λ and μ are Lipschitz continuous and V ∈ L∞. The method is based on the Carleman estimate with polynomial weights for the Lamé operator.
Mathematics Subject Classification: 35B60 / 74B05
Key words: Lamé system / Carleman estimate / strong unique continuation
© EDP Sciences, SMAI, 2010