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Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions

Hang Yu — 2011

ESAIM: Control, Optimisation and Calculus of Variations

This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients , in three dimensions, div ( μ ( u + u t ) ) + ( λ div u ) + V u = 0 where and are Lipschitz continuous and . The method is based on the Carleman estimate with polynomial weights for the Lamé operator.

Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions

Hang Yu — 2011

ESAIM: Control, Optimisation and Calculus of Variations

This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients , in three dimensions, div ( μ ( u + u t ) ) + ( λ div u ) + V u = 0 where and are Lipschitz continuous and . The method is based on the Carleman estimate with polynomial weights for the Lamé operator.

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