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Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*
Published online by Cambridge University Press: 23 April 2010
Abstract
This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µ in three dimensions, ${\rm{div}}(\mu(\nabla u+\nabla u^t))+ \nabla(\lambda{\rm{div}} u)+Vu=0$ 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.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 17 , Issue 3 , July 2011 , pp. 761 - 770
- Copyright
- © EDP Sciences, SMAI, 2010
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