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.
Mots clés : Lamé system, Carleman estimate, strong unique continuation
@article{COCV_2011__17_3_761_0, 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}, publisher = {EDP-Sciences}, volume = {17}, number = {3}, year = {2011}, doi = {10.1051/cocv/2010021}, mrnumber = {2826979}, zbl = {1227.35109}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv/2010021/} }
TY - JOUR AU - Yu, Hang TI - Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2011 SP - 761 EP - 770 VL - 17 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2010021/ DO - 10.1051/cocv/2010021 LA - en ID - COCV_2011__17_3_761_0 ER -
%0 Journal Article %A Yu, Hang %T Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions %J ESAIM: Control, Optimisation and Calculus of Variations %D 2011 %P 761-770 %V 17 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2010021/ %R 10.1051/cocv/2010021 %G en %F COCV_2011__17_3_761_0
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. http://www.numdam.org/articles/10.1051/cocv/2010021/
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