Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients
Lin, Ching-Lung ; Nakamura, Gen ; Wang, Jenn-Nan
Duke Math. J., Tome 151 (2010) no. 1, p. 189-204 / Harvested from Project Euclid
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In this article we study the local behavior of a solution to the Lamé system with Lipschitz coefficients in dimension $n\ge 2$ . Our main result is the bound on the vanishing order of a nontrivial solution, which immediately implies the strong unique continuation property (SUCP). We solve the open problem of the SUCP for the Lamé system with Lipschitz coefficients in any dimension.
Publié le : 2010-10-01
Classification:  35Q72,  35J55 
@article{1285247222,
     author = {Lin, Ching-Lung and Nakamura, Gen and Wang, Jenn-Nan},
     title = {Optimal three-ball inequalities and quantitative uniqueness for the Lam\'e system with Lipschitz coefficients},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 189-204},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285247222}
}

Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan. Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients. Duke Math. J., Tome 151 (2010) no. 1, pp.  189-204. http://gdmltest.u-ga.fr/item/1285247222/