Optimal three-ball inequalities and quantitative uniqueness for the lamé system with lipschitz coefficients

Ching Lung Lin; Gen Nakamura; Jenn Nan Wang

doi:10.1215/00127094-2010-054

Optimal three-ball inequalities and quantitative uniqueness for the lamé system with lipschitz coefficients

Ching Lung Lin, Gen Nakamura, Jenn Nan Wang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

In this article we study the local behavior of a solution to the Lamé system with Lipschitz coefficients in dimension n ≥ 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.

Original language	English
Pages (from-to)	189-204
Number of pages	16
Journal	Duke Mathematical Journal
Volume	155
Issue number	1
DOIs	https://doi.org/10.1215/00127094-2010-054
Publication status	Published - 2010 Oct

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-2010-054

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abstract = "In this article we study the local behavior of a solution to the Lam{\'e} system with Lipschitz coefficients in dimension n ≥ 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 Lam{\'e} system with Lipschitz coefficients in any dimension.",

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AB - In this article we study the local behavior of a solution to the Lamé system with Lipschitz coefficients in dimension n ≥ 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.

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Optimal three-ball inequalities and quantitative uniqueness for the lamé system with lipschitz coefficients

Abstract

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