Issue |
ESAIM: COCV
Volume 17, Number 3, July-September 2011
|
|
---|---|---|
Page(s) | 761 - 770 | |
DOI | https://doi.org/10.1051/cocv/2010021 | |
Published online | 23 April 2010 |
Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*
School of
Mathematical Sciences, Fudan University, 200433 Shanghai, P.R. China. hangyumath@hotmail.com
Received:
24
September
2009
Revised:
25
January
2010
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.
Mathematics Subject Classification: 35B60 / 74B05
Key words: Lamé system / Carleman estimate / strong unique continuation
© EDP Sciences, SMAI, 2010
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