no. 3
Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 3, pp. 761-770

This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µ in three dimensions, div (μ(∇u+∇u t ))+∇(λ 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.

DOI : 10.1051/cocv/2010021
Classification : 35B60, 74B05
Keywords: Lamé system, Carleman estimate, strong unique continuation 
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     author = {Yu, Hang},
     title = {Strong unique continuation for the {Lam\'e} system with {Lipschitz} coefficients in three dimensions},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {761--770},
     year = {2011},
     publisher = {EDP Sciences},
     volume = {17},
     number = {3},
     doi = {10.1051/cocv/2010021},
     mrnumber = {2826979},
     zbl = {1227.35109},
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     url = {https://www.numdam.org/articles/10.1051/cocv/2010021/}
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Yu, Hang. Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 3, pp. 761-770. doi: 10.1051/cocv/2010021

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