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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

Hang Yu
Hang Yu*
Affiliation:
School of Mathematical Sciences, Fudan University, 200433 Shanghai, P.R. China. hangyumath@hotmail.com
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Abstract

This paper studies the strong unique continuation property for theLamé system of elasticity with variable Lamé coefficientsλ, µ in three dimensions, ${\rm{div}}(\mu(\nabla u+\nablau^t))+ \nabla(\lambda{\rm{div}} u)+Vu=0$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.

Keywords

Lamé systemCarleman estimatestrong unique continuation
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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